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Finding the Fourth Proportional to 71,596.81, 107,354.06 and 29,505.95

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Solution

The fourth proportional to 71,596.81, 107,354.06 and 29,505.95 is: 44,241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,596.81 : 107,354.06 = 29,505.95 : x
  2. Step 2: Convert to fraction form
    71,596.81/107,354.06 = 29,505.95/x
  3. Step 3: Cross multiply
    71,596.81x = 107,354.06 × 29,505.95
  4. Step 4: Simplify right side
    71,596.81x = 3,167,583,526.66
  5. Step 5: Solve for x
    x = 3,167,583,526.66/71,596.81
  6. Step 6: Final answer
    x = 44,241.96

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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.