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Finding the Fourth Proportional to 48,414.41, 66,824.57 and 27,200.51

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Solution

The fourth proportional to 48,414.41, 66,824.57 and 27,200.51 is: 37,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414.41 : 66,824.57 = 27,200.51 : x
  2. Step 2: Convert to fraction form
    48,414.41/66,824.57 = 27,200.51/x
  3. Step 3: Cross multiply
    48,414.41x = 66,824.57 × 27,200.51
  4. Step 4: Simplify right side
    48,414.41x = 1,817,662,384.53
  5. Step 5: Solve for x
    x = 1,817,662,384.53/48,414.41
  6. Step 6: Final answer
    x = 37,543.83

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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.