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Finding the Fourth Proportional to 55,586.60, 76,702.38 and 31,711.88

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Solution

The fourth proportional to 55,586.60, 76,702.38 and 31,711.88 is: 43,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,586.60 : 76,702.38 = 31,711.88 : x
  2. Step 2: Convert to fraction form
    55,586.60/76,702.38 = 31,711.88/x
  3. Step 3: Cross multiply
    55,586.60x = 76,702.38 × 31,711.88
  4. Step 4: Simplify right side
    55,586.60x = 2,432,376,670.27
  5. Step 5: Solve for x
    x = 2,432,376,670.27/55,586.60
  6. Step 6: Final answer
    x = 43,758.33

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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.