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Finding the Fourth Proportional to 76,539.40, 114,825.47 and 32,143.30

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Solution

The fourth proportional to 76,539.40, 114,825.47 and 32,143.30 is: 48,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,539.40 : 114,825.47 = 32,143.30 : x
  2. Step 2: Convert to fraction form
    76,539.40/114,825.47 = 32,143.30/x
  3. Step 3: Cross multiply
    76,539.40x = 114,825.47 × 32,143.30
  4. Step 4: Simplify right side
    76,539.40x = 3,690,869,082.07
  5. Step 5: Solve for x
    x = 3,690,869,082.07/76,539.40
  6. Step 6: Final answer
    x = 48,221.82

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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.