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Finding the Fourth Proportional to 71,244.85, 106,827.84 and 29,154.52

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Solution

The fourth proportional to 71,244.85, 106,827.84 and 29,154.52 is: 43,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244.85 : 106,827.84 = 29,154.52 : x
  2. Step 2: Convert to fraction form
    71,244.85/106,827.84 = 29,154.52/x
  3. Step 3: Cross multiply
    71,244.85x = 106,827.84 × 29,154.52
  4. Step 4: Simplify right side
    71,244.85x = 3,114,514,397.84
  5. Step 5: Solve for x
    x = 3,114,514,397.84/71,244.85
  6. Step 6: Final answer
    x = 43,715.64

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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.