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Finding the Fourth Proportional to 51,711.95, 71,370.21 and 31,580.42

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Solution

The fourth proportional to 51,711.95, 71,370.21 and 31,580.42 is: 43,585.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,711.95 : 71,370.21 = 31,580.42 : x
  2. Step 2: Convert to fraction form
    51,711.95/71,370.21 = 31,580.42/x
  3. Step 3: Cross multiply
    51,711.95x = 71,370.21 × 31,580.42
  4. Step 4: Simplify right side
    51,711.95x = 2,253,900,968.86
  5. Step 5: Solve for x
    x = 2,253,900,968.86/51,711.95
  6. Step 6: Final answer
    x = 43,585.69

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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.