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Finding the Fourth Proportional to 70,882.29, 97,751.86 and 51,731.73

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Solution

The fourth proportional to 70,882.29, 97,751.86 and 51,731.73 is: 71,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.29 : 97,751.86 = 51,731.73 : x
  2. Step 2: Convert to fraction form
    70,882.29/97,751.86 = 51,731.73/x
  3. Step 3: Cross multiply
    70,882.29x = 97,751.86 × 51,731.73
  4. Step 4: Simplify right side
    70,882.29x = 5,056,872,974.12
  5. Step 5: Solve for x
    x = 5,056,872,974.12/70,882.29
  6. Step 6: Final answer
    x = 71,341.84

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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.