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Finding the Fourth Proportional to 38,260.38, 52,784.16 and 22,124.71

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Solution

The fourth proportional to 38,260.38, 52,784.16 and 22,124.71 is: 30,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,260.38 : 52,784.16 = 22,124.71 : x
  2. Step 2: Convert to fraction form
    38,260.38/52,784.16 = 22,124.71/x
  3. Step 3: Cross multiply
    38,260.38x = 52,784.16 × 22,124.71
  4. Step 4: Simplify right side
    38,260.38x = 1,167,834,215.61
  5. Step 5: Solve for x
    x = 1,167,834,215.61/38,260.38
  6. Step 6: Final answer
    x = 30,523.33

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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.