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Finding the Fourth Proportional to 75,536.44, 113,335.38 and 48,549

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Solution

The fourth proportional to 75,536.44, 113,335.38 and 48,549 is: 72,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,536.44 : 113,335.38 = 48,549 : x
  2. Step 2: Convert to fraction form
    75,536.44/113,335.38 = 48,549/x
  3. Step 3: Cross multiply
    75,536.44x = 113,335.38 × 48,549
  4. Step 4: Simplify right side
    75,536.44x = 5,502,319,363.62
  5. Step 5: Solve for x
    x = 5,502,319,363.62/75,536.44
  6. Step 6: Final answer
    x = 72,843.24

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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.