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Finding the Fourth Proportional to 96,172.48, 144,272.48 and 29,618.08

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Solution

The fourth proportional to 96,172.48, 144,272.48 and 29,618.08 is: 44,431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,172.48 : 144,272.48 = 29,618.08 : x
  2. Step 2: Convert to fraction form
    96,172.48/144,272.48 = 29,618.08/x
  3. Step 3: Cross multiply
    96,172.48x = 144,272.48 × 29,618.08
  4. Step 4: Simplify right side
    96,172.48x = 4,273,073,854.44
  5. Step 5: Solve for x
    x = 4,273,073,854.44/96,172.48
  6. Step 6: Final answer
    x = 44,431.36

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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.