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Finding the Fourth Proportional to 27,641,978.40, 41,462,967.60 and 27,216,825.60

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Solution

The fourth proportional to 27,641,978.40, 41,462,967.60 and 27,216,825.60 is: 40,825,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641,978.40 : 41,462,967.60 = 27,216,825.60 : x
  2. Step 2: Convert to fraction form
    27,641,978.40/41,462,967.60 = 27,216,825.60/x
  3. Step 3: Cross multiply
    27,641,978.40x = 41,462,967.60 × 27,216,825.60
  4. Step 4: Simplify right side
    27,641,978.40x = 1,128,490,358,027,650.75
  5. Step 5: Solve for x
    x = 1,128,490,358,027,650.75/27,641,978.40
  6. Step 6: Final answer
    x = 40,825,238.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.