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Finding the Fourth Proportional to 67,846, 93,630.36 and 38,038

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Solution

The fourth proportional to 67,846, 93,630.36 and 38,038 is: 52,494.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,846 : 93,630.36 = 38,038 : x
  2. Step 2: Convert to fraction form
    67,846/93,630.36 = 38,038/x
  3. Step 3: Cross multiply
    67,846x = 93,630.36 × 38,038
  4. Step 4: Simplify right side
    67,846x = 3,561,511,633.68
  5. Step 5: Solve for x
    x = 3,561,511,633.68/67,846
  6. Step 6: Final answer
    x = 52,494.05

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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.