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Finding the Fourth Proportional to 77,957.48, 116,909.76 and 25,353.92

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Solution

The fourth proportional to 77,957.48, 116,909.76 and 25,353.92 is: 38,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,957.48 : 116,909.76 = 25,353.92 : x
  2. Step 2: Convert to fraction form
    77,957.48/116,909.76 = 25,353.92/x
  3. Step 3: Cross multiply
    77,957.48x = 116,909.76 × 25,353.92
  4. Step 4: Simplify right side
    77,957.48x = 2,964,120,702.26
  5. Step 5: Solve for x
    x = 2,964,120,702.26/77,957.48
  6. Step 6: Final answer
    x = 38,022.27

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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.