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Finding the Fourth Proportional to 77,864, 107,452.48 and 44,330

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Solution

The fourth proportional to 77,864, 107,452.48 and 44,330 is: 61,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,864 : 107,452.48 = 44,330 : x
  2. Step 2: Convert to fraction form
    77,864/107,452.48 = 44,330/x
  3. Step 3: Cross multiply
    77,864x = 107,452.48 × 44,330
  4. Step 4: Simplify right side
    77,864x = 4,763,368,438.40
  5. Step 5: Solve for x
    x = 4,763,368,438.40/77,864
  6. Step 6: Final answer
    x = 61,175.49

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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.