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Finding the Fourth Proportional to 48,887.56, 67,461.78 and 27,669.16

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Solution

The fourth proportional to 48,887.56, 67,461.78 and 27,669.16 is: 38,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,887.56 : 67,461.78 = 27,669.16 : x
  2. Step 2: Convert to fraction form
    48,887.56/67,461.78 = 27,669.16/x
  3. Step 3: Cross multiply
    48,887.56x = 67,461.78 × 27,669.16
  4. Step 4: Simplify right side
    48,887.56x = 1,866,610,784.70
  5. Step 5: Solve for x
    x = 1,866,610,784.70/48,887.56
  6. Step 6: Final answer
    x = 38,181.71

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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.