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Finding the Fourth Proportional to 48,897.64, 67,478.34 and 27,676.72

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Solution

The fourth proportional to 48,897.64, 67,478.34 and 27,676.72 is: 38,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,897.64 : 67,478.34 = 27,676.72 : x
  2. Step 2: Convert to fraction form
    48,897.64/67,478.34 = 27,676.72/x
  3. Step 3: Cross multiply
    48,897.64x = 67,478.34 × 27,676.72
  4. Step 4: Simplify right side
    48,897.64x = 1,867,579,122.24
  5. Step 5: Solve for x
    x = 1,867,579,122.24/48,897.64
  6. Step 6: Final answer
    x = 38,193.65

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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.