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Finding the Fourth Proportional to 38,192.38, 52,705.84 and 21,425.74

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Solution

The fourth proportional to 38,192.38, 52,705.84 and 21,425.74 is: 29,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,192.38 : 52,705.84 = 21,425.74 : x
  2. Step 2: Convert to fraction form
    38,192.38/52,705.84 = 21,425.74/x
  3. Step 3: Cross multiply
    38,192.38x = 52,705.84 × 21,425.74
  4. Step 4: Simplify right side
    38,192.38x = 1,129,261,360.79
  5. Step 5: Solve for x
    x = 1,129,261,360.79/38,192.38
  6. Step 6: Final answer
    x = 29,567.72

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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.