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Finding the Fourth Proportional to 52,047.96, 71,826.17 and 28,174.83

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Solution

The fourth proportional to 52,047.96, 71,826.17 and 28,174.83 is: 38,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047.96 : 71,826.17 = 28,174.83 : x
  2. Step 2: Convert to fraction form
    52,047.96/71,826.17 = 28,174.83/x
  3. Step 3: Cross multiply
    52,047.96x = 71,826.17 × 28,174.83
  4. Step 4: Simplify right side
    52,047.96x = 2,023,689,988.43
  5. Step 5: Solve for x
    x = 2,023,689,988.43/52,047.96
  6. Step 6: Final answer
    x = 38,881.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.