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Finding the Fourth Proportional to 55,575.31, 76,693.21 and 31,702.38

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Solution

The fourth proportional to 55,575.31, 76,693.21 and 31,702.38 is: 43,748.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,575.31 : 76,693.21 = 31,702.38 : x
  2. Step 2: Convert to fraction form
    55,575.31/76,693.21 = 31,702.38/x
  3. Step 3: Cross multiply
    55,575.31x = 76,693.21 × 31,702.38
  4. Step 4: Simplify right side
    55,575.31x = 2,431,357,207.58
  5. Step 5: Solve for x
    x = 2,431,357,207.58/55,575.31
  6. Step 6: Final answer
    x = 43,748.88

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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.