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Finding the Fourth Proportional to 73,486.70, 110,233.65 and 38,494.70

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Solution

The fourth proportional to 73,486.70, 110,233.65 and 38,494.70 is: 57,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,486.70 : 110,233.65 = 38,494.70 : x
  2. Step 2: Convert to fraction form
    73,486.70/110,233.65 = 38,494.70/x
  3. Step 3: Cross multiply
    73,486.70x = 110,233.65 × 38,494.70
  4. Step 4: Simplify right side
    73,486.70x = 4,243,411,286.66
  5. Step 5: Solve for x
    x = 4,243,411,286.66/73,486.70
  6. Step 6: Final answer
    x = 57,743.94

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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.