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Finding the Fourth Proportional to 42,198.40, 58,227.42 and 23,335.66

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Solution

The fourth proportional to 42,198.40, 58,227.42 and 23,335.66 is: 32,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,198.40 : 58,227.42 = 23,335.66 : x
  2. Step 2: Convert to fraction form
    42,198.40/58,227.42 = 23,335.66/x
  3. Step 3: Cross multiply
    42,198.40x = 58,227.42 × 23,335.66
  4. Step 4: Simplify right side
    42,198.40x = 1,358,775,275.80
  5. Step 5: Solve for x
    x = 1,358,775,275.80/42,198.40
  6. Step 6: Final answer
    x = 32,199.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.