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Finding the Fourth Proportional to 53,978.20, 80,967.30 and 40,856.20

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Solution

The fourth proportional to 53,978.20, 80,967.30 and 40,856.20 is: 61,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.20 : 80,967.30 = 40,856.20 : x
  2. Step 2: Convert to fraction form
    53,978.20/80,967.30 = 40,856.20/x
  3. Step 3: Cross multiply
    53,978.20x = 80,967.30 × 40,856.20
  4. Step 4: Simplify right side
    53,978.20x = 3,308,016,202.26
  5. Step 5: Solve for x
    x = 3,308,016,202.26/53,978.20
  6. Step 6: Final answer
    x = 61,284.30

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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.