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Finding the Fourth Proportional to 41,594.16, 62,332.88 and 27,714

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Solution

The fourth proportional to 41,594.16, 62,332.88 and 27,714 is: 41,532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,594.16 : 62,332.88 = 27,714 : x
  2. Step 2: Convert to fraction form
    41,594.16/62,332.88 = 27,714/x
  3. Step 3: Cross multiply
    41,594.16x = 62,332.88 × 27,714
  4. Step 4: Simplify right side
    41,594.16x = 1,727,493,436.32
  5. Step 5: Solve for x
    x = 1,727,493,436.32/41,594.16
  6. Step 6: Final answer
    x = 41,532.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.