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Finding the Fourth Proportional to 60,877.82, 84,064.84 and 38,256

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Solution

The fourth proportional to 60,877.82, 84,064.84 and 38,256 is: 52,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,877.82 : 84,064.84 = 38,256 : x
  2. Step 2: Convert to fraction form
    60,877.82/84,064.84 = 38,256/x
  3. Step 3: Cross multiply
    60,877.82x = 84,064.84 × 38,256
  4. Step 4: Simplify right side
    60,877.82x = 3,215,984,519.04
  5. Step 5: Solve for x
    x = 3,215,984,519.04/60,877.82
  6. Step 6: Final answer
    x = 52,826.87

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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.