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Finding the Fourth Proportional to 41,099.31, 61,648.98 and 9,934.56

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Solution

The fourth proportional to 41,099.31, 61,648.98 and 9,934.56 is: 14,901.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,099.31 : 61,648.98 = 9,934.56 : x
  2. Step 2: Convert to fraction form
    41,099.31/61,648.98 = 9,934.56/x
  3. Step 3: Cross multiply
    41,099.31x = 61,648.98 × 9,934.56
  4. Step 4: Simplify right side
    41,099.31x = 612,455,490.75
  5. Step 5: Solve for x
    x = 612,455,490.75/41,099.31
  6. Step 6: Final answer
    x = 14,901.84

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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.