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Finding the Fourth Proportional to 49,894.56, 68,854.40 and 27,538.56

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Solution

The fourth proportional to 49,894.56, 68,854.40 and 27,538.56 is: 38,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,894.56 : 68,854.40 = 27,538.56 : x
  2. Step 2: Convert to fraction form
    49,894.56/68,854.40 = 27,538.56/x
  3. Step 3: Cross multiply
    49,894.56x = 68,854.40 × 27,538.56
  4. Step 4: Simplify right side
    49,894.56x = 1,896,151,025.66
  5. Step 5: Solve for x
    x = 1,896,151,025.66/49,894.56
  6. Step 6: Final answer
    x = 38,003.16

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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.