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Finding the Fourth Proportional to 57,134.73, 85,734.50 and 30,838.89

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Solution

The fourth proportional to 57,134.73, 85,734.50 and 30,838.89 is: 46,275.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,134.73 : 85,734.50 = 30,838.89 : x
  2. Step 2: Convert to fraction form
    57,134.73/85,734.50 = 30,838.89/x
  3. Step 3: Cross multiply
    57,134.73x = 85,734.50 × 30,838.89
  4. Step 4: Simplify right side
    57,134.73x = 2,643,956,814.71
  5. Step 5: Solve for x
    x = 2,643,956,814.71/57,134.73
  6. Step 6: Final answer
    x = 46,275.83

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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.