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Finding the Fourth Proportional to 57,251.48, 85,901.94 and 30,974.72

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Solution

The fourth proportional to 57,251.48, 85,901.94 and 30,974.72 is: 46,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,251.48 : 85,901.94 = 30,974.72 : x
  2. Step 2: Convert to fraction form
    57,251.48/85,901.94 = 30,974.72/x
  3. Step 3: Cross multiply
    57,251.48x = 85,901.94 × 30,974.72
  4. Step 4: Simplify right side
    57,251.48x = 2,660,788,538.96
  5. Step 5: Solve for x
    x = 2,660,788,538.96/57,251.48
  6. Step 6: Final answer
    x = 46,475.45

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Why These Related Problems?

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