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Finding the Fourth Proportional to 71,376.96, 98,496.09 and 39,543.96

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Solution

The fourth proportional to 71,376.96, 98,496.09 and 39,543.96 is: 54,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,376.96 : 98,496.09 = 39,543.96 : x
  2. Step 2: Convert to fraction form
    71,376.96/98,496.09 = 39,543.96/x
  3. Step 3: Cross multiply
    71,376.96x = 98,496.09 × 39,543.96
  4. Step 4: Simplify right side
    71,376.96x = 3,894,925,443.12
  5. Step 5: Solve for x
    x = 3,894,925,443.12/71,376.96
  6. Step 6: Final answer
    x = 54,568.39

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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.