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Finding the Fourth Proportional to 48,244.80, 66,578.10 and 27,024

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Solution

The fourth proportional to 48,244.80, 66,578.10 and 27,024 is: 37,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,244.80 : 66,578.10 = 27,024 : x
  2. Step 2: Convert to fraction form
    48,244.80/66,578.10 = 27,024/x
  3. Step 3: Cross multiply
    48,244.80x = 66,578.10 × 27,024
  4. Step 4: Simplify right side
    48,244.80x = 1,799,206,574.40
  5. Step 5: Solve for x
    x = 1,799,206,574.40/48,244.80
  6. Step 6: Final answer
    x = 37,293.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.