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Finding the Fourth Proportional to 49,589.68, 74,317.08 and 27,370

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Solution

The fourth proportional to 49,589.68, 74,317.08 and 27,370 is: 41,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,589.68 : 74,317.08 = 27,370 : x
  2. Step 2: Convert to fraction form
    49,589.68/74,317.08 = 27,370/x
  3. Step 3: Cross multiply
    49,589.68x = 74,317.08 × 27,370
  4. Step 4: Simplify right side
    49,589.68x = 2,034,058,479.60
  5. Step 5: Solve for x
    x = 2,034,058,479.60/49,589.68
  6. Step 6: Final answer
    x = 41,017.78

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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.