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Finding the Fourth Proportional to 41,348, 57,064.46 and 24,357.58

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Solution

The fourth proportional to 41,348, 57,064.46 and 24,357.58 is: 33,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,348 : 57,064.46 = 24,357.58 : x
  2. Step 2: Convert to fraction form
    41,348/57,064.46 = 24,357.58/x
  3. Step 3: Cross multiply
    41,348x = 57,064.46 × 24,357.58
  4. Step 4: Simplify right side
    41,348x = 1,389,952,149.61
  5. Step 5: Solve for x
    x = 1,389,952,149.61/41,348
  6. Step 6: Final answer
    x = 33,615.95

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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.