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Finding the Fourth Proportional to 31,657.60, 47,442.66 and 30,711.52

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Solution

The fourth proportional to 31,657.60, 47,442.66 and 30,711.52 is: 46,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,657.60 : 47,442.66 = 30,711.52 : x
  2. Step 2: Convert to fraction form
    31,657.60/47,442.66 = 30,711.52/x
  3. Step 3: Cross multiply
    31,657.60x = 47,442.66 × 30,711.52
  4. Step 4: Simplify right side
    31,657.60x = 1,457,036,201.44
  5. Step 5: Solve for x
    x = 1,457,036,201.44/31,657.60
  6. Step 6: Final answer
    x = 46,024.85

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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.