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Finding the Fourth Proportional to 43,228.40, 64,387.98 and 41,206

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Solution

The fourth proportional to 43,228.40, 64,387.98 and 41,206 is: 61,375.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,228.40 : 64,387.98 = 41,206 : x
  2. Step 2: Convert to fraction form
    43,228.40/64,387.98 = 41,206/x
  3. Step 3: Cross multiply
    43,228.40x = 64,387.98 × 41,206
  4. Step 4: Simplify right side
    43,228.40x = 2,653,171,103.88
  5. Step 5: Solve for x
    x = 2,653,171,103.88/43,228.40
  6. Step 6: Final answer
    x = 61,375.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.