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Finding the Fourth Proportional to 38,126.40, 52,702.56 and 31,801.92

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Solution

The fourth proportional to 38,126.40, 52,702.56 and 31,801.92 is: 43,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126.40 : 52,702.56 = 31,801.92 : x
  2. Step 2: Convert to fraction form
    38,126.40/52,702.56 = 31,801.92/x
  3. Step 3: Cross multiply
    38,126.40x = 52,702.56 × 31,801.92
  4. Step 4: Simplify right side
    38,126.40x = 1,676,042,596.92
  5. Step 5: Solve for x
    x = 1,676,042,596.92/38,126.40
  6. Step 6: Final answer
    x = 43,960.16

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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.