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Finding the Fourth Proportional to 99,513.92, 149,243.16 and 32,959.26

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Solution

The fourth proportional to 99,513.92, 149,243.16 and 32,959.26 is: 49,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513.92 : 149,243.16 = 32,959.26 : x
  2. Step 2: Convert to fraction form
    99,513.92/149,243.16 = 32,959.26/x
  3. Step 3: Cross multiply
    99,513.92x = 149,243.16 × 32,959.26
  4. Step 4: Simplify right side
    99,513.92x = 4,918,944,113.66
  5. Step 5: Solve for x
    x = 4,918,944,113.66/99,513.92
  6. Step 6: Final answer
    x = 49,429.71

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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.