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Finding the Fourth Proportional to 99,531.13, 137,352.96 and 54,819.13

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Solution

The fourth proportional to 99,531.13, 137,352.96 and 54,819.13 is: 75,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,531.13 : 137,352.96 = 54,819.13 : x
  2. Step 2: Convert to fraction form
    99,531.13/137,352.96 = 54,819.13/x
  3. Step 3: Cross multiply
    99,531.13x = 137,352.96 × 54,819.13
  4. Step 4: Simplify right side
    99,531.13x = 7,529,568,809.26
  5. Step 5: Solve for x
    x = 7,529,568,809.26/99,531.13
  6. Step 6: Final answer
    x = 75,650.39

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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.