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Finding the Fourth Proportional to 100,929.91, 151,424.47 and 29,854.43

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Solution

The fourth proportional to 100,929.91, 151,424.47 and 29,854.43 is: 44,790.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,929.91 : 151,424.47 = 29,854.43 : x
  2. Step 2: Convert to fraction form
    100,929.91/151,424.47 = 29,854.43/x
  3. Step 3: Cross multiply
    100,929.91x = 151,424.47 × 29,854.43
  4. Step 4: Simplify right side
    100,929.91x = 4,520,691,239.90
  5. Step 5: Solve for x
    x = 4,520,691,239.90/100,929.91
  6. Step 6: Final answer
    x = 44,790.40

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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.