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Finding the Fourth Proportional to 76,089.68, 114,060.32 and 31,729.11

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Solution

The fourth proportional to 76,089.68, 114,060.32 and 31,729.11 is: 47,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,089.68 : 114,060.32 = 31,729.11 : x
  2. Step 2: Convert to fraction form
    76,089.68/114,060.32 = 31,729.11/x
  3. Step 3: Cross multiply
    76,089.68x = 114,060.32 × 31,729.11
  4. Step 4: Simplify right side
    76,089.68x = 3,619,032,439.92
  5. Step 5: Solve for x
    x = 3,619,032,439.92/76,089.68
  6. Step 6: Final answer
    x = 47,562.72

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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.