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Finding the Fourth Proportional to 48,082.41, 66,357.33 and 27,670.71

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Solution

The fourth proportional to 48,082.41, 66,357.33 and 27,670.71 is: 38,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,082.41 : 66,357.33 = 27,670.71 : x
  2. Step 2: Convert to fraction form
    48,082.41/66,357.33 = 27,670.71/x
  3. Step 3: Cross multiply
    48,082.41x = 66,357.33 × 27,670.71
  4. Step 4: Simplify right side
    48,082.41x = 1,836,154,434.80
  5. Step 5: Solve for x
    x = 1,836,154,434.80/48,082.41
  6. Step 6: Final answer
    x = 38,187.65

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Why These Related Problems?

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