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Finding the Fourth Proportional to 96,322.95, 144,499.86 and 29,747.43

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Solution

The fourth proportional to 96,322.95, 144,499.86 and 29,747.43 is: 44,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,322.95 : 144,499.86 = 29,747.43 : x
  2. Step 2: Convert to fraction form
    96,322.95/144,499.86 = 29,747.43/x
  3. Step 3: Cross multiply
    96,322.95x = 144,499.86 × 29,747.43
  4. Step 4: Simplify right side
    96,322.95x = 4,298,499,470.36
  5. Step 5: Solve for x
    x = 4,298,499,470.36/96,322.95
  6. Step 6: Final answer
    x = 44,625.91

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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.