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Finding the Fourth Proportional to 42,802.92, 59,067.12 and 23,684.40

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Solution

The fourth proportional to 42,802.92, 59,067.12 and 23,684.40 is: 32,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,802.92 : 59,067.12 = 23,684.40 : x
  2. Step 2: Convert to fraction form
    42,802.92/59,067.12 = 23,684.40/x
  3. Step 3: Cross multiply
    42,802.92x = 59,067.12 × 23,684.40
  4. Step 4: Simplify right side
    42,802.92x = 1,398,969,296.93
  5. Step 5: Solve for x
    x = 1,398,969,296.93/42,802.92
  6. Step 6: Final answer
    x = 32,683.97

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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.