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Finding the Fourth Proportional to 96,234.71, 144,342.75 and 29,656.95

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Solution

The fourth proportional to 96,234.71, 144,342.75 and 29,656.95 is: 44,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234.71 : 144,342.75 = 29,656.95 : x
  2. Step 2: Convert to fraction form
    96,234.71/144,342.75 = 29,656.95/x
  3. Step 3: Cross multiply
    96,234.71x = 144,342.75 × 29,656.95
  4. Step 4: Simplify right side
    96,234.71x = 4,280,765,719.61
  5. Step 5: Solve for x
    x = 4,280,765,719.61/96,234.71
  6. Step 6: Final answer
    x = 44,482.56

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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.