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Finding the Fourth Proportional to 48,845.98, 67,408.92 and 27,624.82

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Solution

The fourth proportional to 48,845.98, 67,408.92 and 27,624.82 is: 38,123.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,845.98 : 67,408.92 = 27,624.82 : x
  2. Step 2: Convert to fraction form
    48,845.98/67,408.92 = 27,624.82/x
  3. Step 3: Cross multiply
    48,845.98x = 67,408.92 × 27,624.82
  4. Step 4: Simplify right side
    48,845.98x = 1,862,159,281.39
  5. Step 5: Solve for x
    x = 1,862,159,281.39/48,845.98
  6. Step 6: Final answer
    x = 38,123.08

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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.