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Finding the Fourth Proportional to 38,347.29, 52,902.18 and 22,424.72

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Solution

The fourth proportional to 38,347.29, 52,902.18 and 22,424.72 is: 30,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,347.29 : 52,902.18 = 22,424.72 : x
  2. Step 2: Convert to fraction form
    38,347.29/52,902.18 = 22,424.72/x
  3. Step 3: Cross multiply
    38,347.29x = 52,902.18 × 22,424.72
  4. Step 4: Simplify right side
    38,347.29x = 1,186,316,309.38
  5. Step 5: Solve for x
    x = 1,186,316,309.38/38,347.29
  6. Step 6: Final answer
    x = 30,936.12

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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.