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Finding the Fourth Proportional to 35,978.64, 53,866.24 and 19,073.12

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Solution

The fourth proportional to 35,978.64, 53,866.24 and 19,073.12 is: 28,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.64 : 53,866.24 = 19,073.12 : x
  2. Step 2: Convert to fraction form
    35,978.64/53,866.24 = 19,073.12/x
  3. Step 3: Cross multiply
    35,978.64x = 53,866.24 × 19,073.12
  4. Step 4: Simplify right side
    35,978.64x = 1,027,397,259.47
  5. Step 5: Solve for x
    x = 1,027,397,259.47/35,978.64
  6. Step 6: Final answer
    x = 28,555.76

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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.