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Finding the Fourth Proportional to 96,234.63, 144,310.68 and 33,061.11

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Solution

The fourth proportional to 96,234.63, 144,310.68 and 33,061.11 is: 49,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234.63 : 144,310.68 = 33,061.11 : x
  2. Step 2: Convert to fraction form
    96,234.63/144,310.68 = 33,061.11/x
  3. Step 3: Cross multiply
    96,234.63x = 144,310.68 × 33,061.11
  4. Step 4: Simplify right side
    96,234.63x = 4,771,071,265.65
  5. Step 5: Solve for x
    x = 4,771,071,265.65/96,234.63
  6. Step 6: Final answer
    x = 49,577.49

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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.