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Finding the Fourth Proportional to 96,568.30, 144,866.85 and 34,233.90

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Solution

The fourth proportional to 96,568.30, 144,866.85 and 34,233.90 is: 51,355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,568.30 : 144,866.85 = 34,233.90 : x
  2. Step 2: Convert to fraction form
    96,568.30/144,866.85 = 34,233.90/x
  3. Step 3: Cross multiply
    96,568.30x = 144,866.85 × 34,233.90
  4. Step 4: Simplify right side
    96,568.30x = 4,959,357,256.22
  5. Step 5: Solve for x
    x = 4,959,357,256.22/96,568.30
  6. Step 6: Final answer
    x = 51,355.95

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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.