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Finding the Fourth Proportional to 31,065.31, 42,870.83 and 17,635.31

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Solution

The fourth proportional to 31,065.31, 42,870.83 and 17,635.31 is: 24,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.31 : 42,870.83 = 17,635.31 : x
  2. Step 2: Convert to fraction form
    31,065.31/42,870.83 = 17,635.31/x
  3. Step 3: Cross multiply
    31,065.31x = 42,870.83 × 17,635.31
  4. Step 4: Simplify right side
    31,065.31x = 756,040,377.01
  5. Step 5: Solve for x
    x = 756,040,377.01/31,065.31
  6. Step 6: Final answer
    x = 24,337.13

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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.