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Finding the Fourth Proportional to 41,044, 61,566 and 9,879.25

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Solution

The fourth proportional to 41,044, 61,566 and 9,879.25 is: 14,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,044 : 61,566 = 9,879.25 : x
  2. Step 2: Convert to fraction form
    41,044/61,566 = 9,879.25/x
  3. Step 3: Cross multiply
    41,044x = 61,566 × 9,879.25
  4. Step 4: Simplify right side
    41,044x = 608,225,905.50
  5. Step 5: Solve for x
    x = 608,225,905.50/41,044
  6. Step 6: Final answer
    x = 14,818.88

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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.