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Finding the Fourth Proportional to 58,531.64, 80,773.88 and 31,674.14

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Solution

The fourth proportional to 58,531.64, 80,773.88 and 31,674.14 is: 43,710.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,531.64 : 80,773.88 = 31,674.14 : x
  2. Step 2: Convert to fraction form
    58,531.64/80,773.88 = 31,674.14/x
  3. Step 3: Cross multiply
    58,531.64x = 80,773.88 × 31,674.14
  4. Step 4: Simplify right side
    58,531.64x = 2,558,443,191.38
  5. Step 5: Solve for x
    x = 2,558,443,191.38/58,531.64
  6. Step 6: Final answer
    x = 43,710.43

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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.