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Finding the Fourth Proportional to 41,200, 56,863.68 and 23,536

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Solution

The fourth proportional to 41,200, 56,863.68 and 23,536 is: 32,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,200 : 56,863.68 = 23,536 : x
  2. Step 2: Convert to fraction form
    41,200/56,863.68 = 23,536/x
  3. Step 3: Cross multiply
    41,200x = 56,863.68 × 23,536
  4. Step 4: Simplify right side
    41,200x = 1,338,343,572.48
  5. Step 5: Solve for x
    x = 1,338,343,572.48/41,200
  6. Step 6: Final answer
    x = 32,484.07

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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.