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Finding the Fourth Proportional to 41,242.60, 61,857.04 and 11,653.68

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Solution

The fourth proportional to 41,242.60, 61,857.04 and 11,653.68 is: 17,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,242.60 : 61,857.04 = 11,653.68 : x
  2. Step 2: Convert to fraction form
    41,242.60/61,857.04 = 11,653.68/x
  3. Step 3: Cross multiply
    41,242.60x = 61,857.04 × 11,653.68
  4. Step 4: Simplify right side
    41,242.60x = 720,862,149.91
  5. Step 5: Solve for x
    x = 720,862,149.91/41,242.60
  6. Step 6: Final answer
    x = 17,478.58

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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.