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Finding the Fourth Proportional to 75,512.96, 113,306.30 and 53,468

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Solution

The fourth proportional to 75,512.96, 113,306.30 and 53,468 is: 80,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,512.96 : 113,306.30 = 53,468 : x
  2. Step 2: Convert to fraction form
    75,512.96/113,306.30 = 53,468/x
  3. Step 3: Cross multiply
    75,512.96x = 113,306.30 × 53,468
  4. Step 4: Simplify right side
    75,512.96x = 6,058,261,248.40
  5. Step 5: Solve for x
    x = 6,058,261,248.40/75,512.96
  6. Step 6: Final answer
    x = 80,228.10

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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.