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Finding the Fourth Proportional to 92,518.16, 127,676.11 and 54,278.38

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Solution

The fourth proportional to 92,518.16, 127,676.11 and 54,278.38 is: 74,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,518.16 : 127,676.11 = 54,278.38 : x
  2. Step 2: Convert to fraction form
    92,518.16/127,676.11 = 54,278.38/x
  3. Step 3: Cross multiply
    92,518.16x = 127,676.11 × 54,278.38
  4. Step 4: Simplify right side
    92,518.16x = 6,930,051,777.12
  5. Step 5: Solve for x
    x = 6,930,051,777.12/92,518.16
  6. Step 6: Final answer
    x = 74,904.78

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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.