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Finding the Fourth Proportional to 51,957.52, 77,823.50 and 31,906.15

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Solution

The fourth proportional to 51,957.52, 77,823.50 and 31,906.15 is: 47,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,957.52 : 77,823.50 = 31,906.15 : x
  2. Step 2: Convert to fraction form
    51,957.52/77,823.50 = 31,906.15/x
  3. Step 3: Cross multiply
    51,957.52x = 77,823.50 × 31,906.15
  4. Step 4: Simplify right side
    51,957.52x = 2,483,048,527.66
  5. Step 5: Solve for x
    x = 2,483,048,527.66/51,957.52
  6. Step 6: Final answer
    x = 47,789.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.