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Finding the Fourth Proportional to 31,115, 42,939.78 and 17,686.82

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Solution

The fourth proportional to 31,115, 42,939.78 and 17,686.82 is: 24,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115 : 42,939.78 = 17,686.82 : x
  2. Step 2: Convert to fraction form
    31,115/42,939.78 = 17,686.82/x
  3. Step 3: Cross multiply
    31,115x = 42,939.78 × 17,686.82
  4. Step 4: Simplify right side
    31,115x = 759,468,159.70
  5. Step 5: Solve for x
    x = 759,468,159.70/31,115
  6. Step 6: Final answer
    x = 24,408.43

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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.