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Finding the Fourth Proportional to 31,078.91, 42,887.41 and 17,648.39

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Solution

The fourth proportional to 31,078.91, 42,887.41 and 17,648.39 is: 24,353.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.91 : 42,887.41 = 17,648.39 : x
  2. Step 2: Convert to fraction form
    31,078.91/42,887.41 = 17,648.39/x
  3. Step 3: Cross multiply
    31,078.91x = 42,887.41 × 17,648.39
  4. Step 4: Simplify right side
    31,078.91x = 756,893,800.87
  5. Step 5: Solve for x
    x = 756,893,800.87/31,078.91
  6. Step 6: Final answer
    x = 24,353.93

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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.