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Finding the Fourth Proportional to 96,244.10, 144,381.72 and 29,668.66

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Solution

The fourth proportional to 96,244.10, 144,381.72 and 29,668.66 is: 44,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,244.10 : 144,381.72 = 29,668.66 : x
  2. Step 2: Convert to fraction form
    96,244.10/144,381.72 = 29,668.66/x
  3. Step 3: Cross multiply
    96,244.10x = 144,381.72 × 29,668.66
  4. Step 4: Simplify right side
    96,244.10x = 4,283,612,678.50
  5. Step 5: Solve for x
    x = 4,283,612,678.50/96,244.10
  6. Step 6: Final answer
    x = 44,507.79

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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.