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Finding the Fourth Proportional to 71,776.61, 107,585.63 and 29,633.46

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Solution

The fourth proportional to 71,776.61, 107,585.63 and 29,633.46 is: 44,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,776.61 : 107,585.63 = 29,633.46 : x
  2. Step 2: Convert to fraction form
    71,776.61/107,585.63 = 29,633.46/x
  3. Step 3: Cross multiply
    71,776.61x = 107,585.63 × 29,633.46
  4. Step 4: Simplify right side
    71,776.61x = 3,188,134,794.55
  5. Step 5: Solve for x
    x = 3,188,134,794.55/71,776.61
  6. Step 6: Final answer
    x = 44,417.46

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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.