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Finding the Fourth Proportional to 69,788.28, 96,308.64 and 37,957.92

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Solution

The fourth proportional to 69,788.28, 96,308.64 and 37,957.92 is: 52,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,788.28 : 96,308.64 = 37,957.92 : x
  2. Step 2: Convert to fraction form
    69,788.28/96,308.64 = 37,957.92/x
  3. Step 3: Cross multiply
    69,788.28x = 96,308.64 × 37,957.92
  4. Step 4: Simplify right side
    69,788.28x = 3,655,675,652.43
  5. Step 5: Solve for x
    x = 3,655,675,652.43/69,788.28
  6. Step 6: Final answer
    x = 52,382.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.