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Finding the Fourth Proportional to 48,104.89, 66,385.02 and 27,962.16

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Solution

The fourth proportional to 48,104.89, 66,385.02 and 27,962.16 is: 38,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,104.89 : 66,385.02 = 27,962.16 : x
  2. Step 2: Convert to fraction form
    48,104.89/66,385.02 = 27,962.16/x
  3. Step 3: Cross multiply
    48,104.89x = 66,385.02 × 27,962.16
  4. Step 4: Simplify right side
    48,104.89x = 1,856,268,622.89
  5. Step 5: Solve for x
    x = 1,856,268,622.89/48,104.89
  6. Step 6: Final answer
    x = 38,587.94

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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.