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Finding the Fourth Proportional to 48,334.38, 66,706.44 and 27,113.78

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Solution

The fourth proportional to 48,334.38, 66,706.44 and 27,113.78 is: 37,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,334.38 : 66,706.44 = 27,113.78 : x
  2. Step 2: Convert to fraction form
    48,334.38/66,706.44 = 27,113.78/x
  3. Step 3: Cross multiply
    48,334.38x = 66,706.44 × 27,113.78
  4. Step 4: Simplify right side
    48,334.38x = 1,808,663,738.74
  5. Step 5: Solve for x
    x = 1,808,663,738.74/48,334.38
  6. Step 6: Final answer
    x = 37,419.82

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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.