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Finding the Fourth Proportional to 41,244.64, 61,866.19 and 13,164.48

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Solution

The fourth proportional to 41,244.64, 61,866.19 and 13,164.48 is: 19,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,244.64 : 61,866.19 = 13,164.48 : x
  2. Step 2: Convert to fraction form
    41,244.64/61,866.19 = 13,164.48/x
  3. Step 3: Cross multiply
    41,244.64x = 61,866.19 × 13,164.48
  4. Step 4: Simplify right side
    41,244.64x = 814,436,220.93
  5. Step 5: Solve for x
    x = 814,436,220.93/41,244.64
  6. Step 6: Final answer
    x = 19,746.47

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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.