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Finding the Fourth Proportional to 44,512, 66,716.12 and 24,781.12

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Solution

The fourth proportional to 44,512, 66,716.12 and 24,781.12 is: 37,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,512 : 66,716.12 = 24,781.12 : x
  2. Step 2: Convert to fraction form
    44,512/66,716.12 = 24,781.12/x
  3. Step 3: Cross multiply
    44,512x = 66,716.12 × 24,781.12
  4. Step 4: Simplify right side
    44,512x = 1,653,300,175.65
  5. Step 5: Solve for x
    x = 1,653,300,175.65/44,512
  6. Step 6: Final answer
    x = 37,142.80

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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.