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Finding the Fourth Proportional to 83,411.52, 125,129.58 and 24,239.52

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Solution

The fourth proportional to 83,411.52, 125,129.58 and 24,239.52 is: 36,362.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,411.52 : 125,129.58 = 24,239.52 : x
  2. Step 2: Convert to fraction form
    83,411.52/125,129.58 = 24,239.52/x
  3. Step 3: Cross multiply
    83,411.52x = 125,129.58 × 24,239.52
  4. Step 4: Simplify right side
    83,411.52x = 3,033,080,957.00
  5. Step 5: Solve for x
    x = 3,033,080,957.00/83,411.52
  6. Step 6: Final answer
    x = 36,362.85

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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.