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Finding the Fourth Proportional to 73,178.38, 100,988.16 and 41,346.64

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Solution

The fourth proportional to 73,178.38, 100,988.16 and 41,346.64 is: 57,059.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.38 : 100,988.16 = 41,346.64 : x
  2. Step 2: Convert to fraction form
    73,178.38/100,988.16 = 41,346.64/x
  3. Step 3: Cross multiply
    73,178.38x = 100,988.16 × 41,346.64
  4. Step 4: Simplify right side
    73,178.38x = 4,175,521,095.78
  5. Step 5: Solve for x
    x = 4,175,521,095.78/73,178.38
  6. Step 6: Final answer
    x = 57,059.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.