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Finding the Fourth Proportional to 52,084.76, 71,873.24 and 30,575.38

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Solution

The fourth proportional to 52,084.76, 71,873.24 and 30,575.38 is: 42,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084.76 : 71,873.24 = 30,575.38 : x
  2. Step 2: Convert to fraction form
    52,084.76/71,873.24 = 30,575.38/x
  3. Step 3: Cross multiply
    52,084.76x = 71,873.24 × 30,575.38
  4. Step 4: Simplify right side
    52,084.76x = 2,197,551,368.96
  5. Step 5: Solve for x
    x = 2,197,551,368.96/52,084.76
  6. Step 6: Final answer
    x = 42,191.83

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Why These Related Problems?

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