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Finding the Fourth Proportional to 71,682.78, 107,565.65 and 29,555.01

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Solution

The fourth proportional to 71,682.78, 107,565.65 and 29,555.01 is: 44,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.78 : 107,565.65 = 29,555.01 : x
  2. Step 2: Convert to fraction form
    71,682.78/107,565.65 = 29,555.01/x
  3. Step 3: Cross multiply
    71,682.78x = 107,565.65 × 29,555.01
  4. Step 4: Simplify right side
    71,682.78x = 3,179,103,713.63
  5. Step 5: Solve for x
    x = 3,179,103,713.63/71,682.78
  6. Step 6: Final answer
    x = 44,349.62

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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.