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Finding the Fourth Proportional to 31,083.68, 42,866.52 and 20,454.86

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Solution

The fourth proportional to 31,083.68, 42,866.52 and 20,454.86 is: 28,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.68 : 42,866.52 = 20,454.86 : x
  2. Step 2: Convert to fraction form
    31,083.68/42,866.52 = 20,454.86/x
  3. Step 3: Cross multiply
    31,083.68x = 42,866.52 × 20,454.86
  4. Step 4: Simplify right side
    31,083.68x = 876,828,665.29
  5. Step 5: Solve for x
    x = 876,828,665.29/31,083.68
  6. Step 6: Final answer
    x = 28,208.65

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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.