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Finding the Fourth Proportional to 41,200.68, 61,780.86 and 14,901.48

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Solution

The fourth proportional to 41,200.68, 61,780.86 and 14,901.48 is: 22,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200.68 : 61,780.86 = 14,901.48 : x
  2. Step 2: Convert to fraction form
    41,200.68/61,780.86 = 14,901.48/x
  3. Step 3: Cross multiply
    41,200.68x = 61,780.86 × 14,901.48
  4. Step 4: Simplify right side
    41,200.68x = 920,626,249.67
  5. Step 5: Solve for x
    x = 920,626,249.67/41,200.68
  6. Step 6: Final answer
    x = 22,344.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.