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Finding the Fourth Proportional to 51,586.34, 71,201.79 and 31,454.30

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Solution

The fourth proportional to 51,586.34, 71,201.79 and 31,454.30 is: 43,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,586.34 : 71,201.79 = 31,454.30 : x
  2. Step 2: Convert to fraction form
    51,586.34/71,201.79 = 31,454.30/x
  3. Step 3: Cross multiply
    51,586.34x = 71,201.79 × 31,454.30
  4. Step 4: Simplify right side
    51,586.34x = 2,239,602,641.20
  5. Step 5: Solve for x
    x = 2,239,602,641.20/51,586.34
  6. Step 6: Final answer
    x = 43,414.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.