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Finding the Fourth Proportional to 70,542.76, 105,829.82 and 33,082.87

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Solution

The fourth proportional to 70,542.76, 105,829.82 and 33,082.87 is: 49,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542.76 : 105,829.82 = 33,082.87 : x
  2. Step 2: Convert to fraction form
    70,542.76/105,829.82 = 33,082.87/x
  3. Step 3: Cross multiply
    70,542.76x = 105,829.82 × 33,082.87
  4. Step 4: Simplify right side
    70,542.76x = 3,501,154,177.18
  5. Step 5: Solve for x
    x = 3,501,154,177.18/70,542.76
  6. Step 6: Final answer
    x = 49,631.66

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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.