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Finding the Fourth Proportional to 61,738.19, 85,198.70 and 33,443.88

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Solution

The fourth proportional to 61,738.19, 85,198.70 and 33,443.88 is: 46,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,738.19 : 85,198.70 = 33,443.88 : x
  2. Step 2: Convert to fraction form
    61,738.19/85,198.70 = 33,443.88/x
  3. Step 3: Cross multiply
    61,738.19x = 85,198.70 × 33,443.88
  4. Step 4: Simplify right side
    61,738.19x = 2,849,375,098.96
  5. Step 5: Solve for x
    x = 2,849,375,098.96/61,738.19
  6. Step 6: Final answer
    x = 46,152.55

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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.