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Finding the Fourth Proportional to 29,447.52, 44,178.57 and 13,861.50

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Solution

The fourth proportional to 29,447.52, 44,178.57 and 13,861.50 is: 20,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,447.52 : 44,178.57 = 13,861.50 : x
  2. Step 2: Convert to fraction form
    29,447.52/44,178.57 = 13,861.50/x
  3. Step 3: Cross multiply
    29,447.52x = 44,178.57 × 13,861.50
  4. Step 4: Simplify right side
    29,447.52x = 612,381,248.06
  5. Step 5: Solve for x
    x = 612,381,248.06/29,447.52
  6. Step 6: Final answer
    x = 20,795.68

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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.