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Finding the Fourth Proportional to 71,463.38, 98,621.32 and 39,199.40

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Solution

The fourth proportional to 71,463.38, 98,621.32 and 39,199.40 is: 54,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,463.38 : 98,621.32 = 39,199.40 : x
  2. Step 2: Convert to fraction form
    71,463.38/98,621.32 = 39,199.40/x
  3. Step 3: Cross multiply
    71,463.38x = 98,621.32 × 39,199.40
  4. Step 4: Simplify right side
    71,463.38x = 3,865,896,571.21
  5. Step 5: Solve for x
    x = 3,865,896,571.21/71,463.38
  6. Step 6: Final answer
    x = 54,096.19

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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.