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Finding the Fourth Proportional to 103,894.38, 155,754.09 and 41,530.86

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Solution

The fourth proportional to 103,894.38, 155,754.09 and 41,530.86 is: 62,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,894.38 : 155,754.09 = 41,530.86 : x
  2. Step 2: Convert to fraction form
    103,894.38/155,754.09 = 41,530.86/x
  3. Step 3: Cross multiply
    103,894.38x = 155,754.09 × 41,530.86
  4. Step 4: Simplify right side
    103,894.38x = 6,468,601,306.22
  5. Step 5: Solve for x
    x = 6,468,601,306.22/103,894.38
  6. Step 6: Final answer
    x = 62,261.32

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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.