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Finding the Fourth Proportional to 82,520.87, 123,403.10 and 61,475.45

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Solution

The fourth proportional to 82,520.87, 123,403.10 and 61,475.45 is: 91,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,520.87 : 123,403.10 = 61,475.45 : x
  2. Step 2: Convert to fraction form
    82,520.87/123,403.10 = 61,475.45/x
  3. Step 3: Cross multiply
    82,520.87x = 123,403.10 × 61,475.45
  4. Step 4: Simplify right side
    82,520.87x = 7,586,260,179.50
  5. Step 5: Solve for x
    x = 7,586,260,179.50/82,520.87
  6. Step 6: Final answer
    x = 91,931.42

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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.