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Finding the Fourth Proportional to 71,352.64, 107,044.62 and 29,233

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Solution

The fourth proportional to 71,352.64, 107,044.62 and 29,233 is: 43,855.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352.64 : 107,044.62 = 29,233 : x
  2. Step 2: Convert to fraction form
    71,352.64/107,044.62 = 29,233/x
  3. Step 3: Cross multiply
    71,352.64x = 107,044.62 × 29,233
  4. Step 4: Simplify right side
    71,352.64x = 3,129,235,376.46
  5. Step 5: Solve for x
    x = 3,129,235,376.46/71,352.64
  6. Step 6: Final answer
    x = 43,855.92

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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.