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Finding the Fourth Proportional to 39,758, 54,877.56 and 26,510

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Solution

The fourth proportional to 39,758, 54,877.56 and 26,510 is: 36,591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758 : 54,877.56 = 26,510 : x
  2. Step 2: Convert to fraction form
    39,758/54,877.56 = 26,510/x
  3. Step 3: Cross multiply
    39,758x = 54,877.56 × 26,510
  4. Step 4: Simplify right side
    39,758x = 1,454,804,115.60
  5. Step 5: Solve for x
    x = 1,454,804,115.60/39,758
  6. Step 6: Final answer
    x = 36,591.48

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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.