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Finding the Fourth Proportional to 31,118.41, 42,943.17 and 16,970.95

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Solution

The fourth proportional to 31,118.41, 42,943.17 and 16,970.95 is: 23,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,118.41 : 42,943.17 = 16,970.95 : x
  2. Step 2: Convert to fraction form
    31,118.41/42,943.17 = 16,970.95/x
  3. Step 3: Cross multiply
    31,118.41x = 42,943.17 × 16,970.95
  4. Step 4: Simplify right side
    31,118.41x = 728,786,390.91
  5. Step 5: Solve for x
    x = 728,786,390.91/31,118.41
  6. Step 6: Final answer
    x = 23,419.78

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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.