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Finding the Fourth Proportional to 83,507.44, 125,281.92 and 24,343.63

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Solution

The fourth proportional to 83,507.44, 125,281.92 and 24,343.63 is: 36,521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,507.44 : 125,281.92 = 24,343.63 : x
  2. Step 2: Convert to fraction form
    83,507.44/125,281.92 = 24,343.63/x
  3. Step 3: Cross multiply
    83,507.44x = 125,281.92 × 24,343.63
  4. Step 4: Simplify right side
    83,507.44x = 3,049,816,706.17
  5. Step 5: Solve for x
    x = 3,049,816,706.17/83,507.44
  6. Step 6: Final answer
    x = 36,521.50

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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.