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Finding the Fourth Proportional to 75,486.40, 113,203.36 and 38,032

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Solution

The fourth proportional to 75,486.40, 113,203.36 and 38,032 is: 57,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.40 : 113,203.36 = 38,032 : x
  2. Step 2: Convert to fraction form
    75,486.40/113,203.36 = 38,032/x
  3. Step 3: Cross multiply
    75,486.40x = 113,203.36 × 38,032
  4. Step 4: Simplify right side
    75,486.40x = 4,305,350,187.52
  5. Step 5: Solve for x
    x = 4,305,350,187.52/75,486.40
  6. Step 6: Final answer
    x = 57,034.78

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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.