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Finding the Fourth Proportional to 71,374.34, 98,499.82 and 39,543.24

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Solution

The fourth proportional to 71,374.34, 98,499.82 and 39,543.24 is: 54,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,374.34 : 98,499.82 = 39,543.24 : x
  2. Step 2: Convert to fraction form
    71,374.34/98,499.82 = 39,543.24/x
  3. Step 3: Cross multiply
    71,374.34x = 98,499.82 × 39,543.24
  4. Step 4: Simplify right side
    71,374.34x = 3,895,002,416.75
  5. Step 5: Solve for x
    x = 3,895,002,416.75/71,374.34
  6. Step 6: Final answer
    x = 54,571.46

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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.