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Finding the Fourth Proportional to 106,468.75, 159,730.13 and 39,909.07

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Solution

The fourth proportional to 106,468.75, 159,730.13 and 39,909.07 is: 59,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,468.75 : 159,730.13 = 39,909.07 : x
  2. Step 2: Convert to fraction form
    106,468.75/159,730.13 = 39,909.07/x
  3. Step 3: Cross multiply
    106,468.75x = 159,730.13 × 39,909.07
  4. Step 4: Simplify right side
    106,468.75x = 6,374,680,939.28
  5. Step 5: Solve for x
    x = 6,374,680,939.28/106,468.75
  6. Step 6: Final answer
    x = 59,873.73

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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.