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Finding the Fourth Proportional to 96,395.95, 144,600.68 and 29,827.31

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Solution

The fourth proportional to 96,395.95, 144,600.68 and 29,827.31 is: 44,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,395.95 : 144,600.68 = 29,827.31 : x
  2. Step 2: Convert to fraction form
    96,395.95/144,600.68 = 29,827.31/x
  3. Step 3: Cross multiply
    96,395.95x = 144,600.68 × 29,827.31
  4. Step 4: Simplify right side
    96,395.95x = 4,313,049,308.57
  5. Step 5: Solve for x
    x = 4,313,049,308.57/96,395.95
  6. Step 6: Final answer
    x = 44,743.06

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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.