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Finding the Fourth Proportional to 38,337.84, 52,926.48 and 24,734.16

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Solution

The fourth proportional to 38,337.84, 52,926.48 and 24,734.16 is: 34,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337.84 : 52,926.48 = 24,734.16 : x
  2. Step 2: Convert to fraction form
    38,337.84/52,926.48 = 24,734.16/x
  3. Step 3: Cross multiply
    38,337.84x = 52,926.48 × 24,734.16
  4. Step 4: Simplify right side
    38,337.84x = 1,309,092,024.56
  5. Step 5: Solve for x
    x = 1,309,092,024.56/38,337.84
  6. Step 6: Final answer
    x = 34,146.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.