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Finding the Fourth Proportional to 75,874.32, 113,801.49 and 23,279.40

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Solution

The fourth proportional to 75,874.32, 113,801.49 and 23,279.40 is: 34,916.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,874.32 : 113,801.49 = 23,279.40 : x
  2. Step 2: Convert to fraction form
    75,874.32/113,801.49 = 23,279.40/x
  3. Step 3: Cross multiply
    75,874.32x = 113,801.49 × 23,279.40
  4. Step 4: Simplify right side
    75,874.32x = 2,649,230,406.31
  5. Step 5: Solve for x
    x = 2,649,230,406.31/75,874.32
  6. Step 6: Final answer
    x = 34,916.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.