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Finding the Fourth Proportional to 31,074.54, 42,883.14 and 17,646.07

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Solution

The fourth proportional to 31,074.54, 42,883.14 and 17,646.07 is: 24,351.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,074.54 : 42,883.14 = 17,646.07 : x
  2. Step 2: Convert to fraction form
    31,074.54/42,883.14 = 17,646.07/x
  3. Step 3: Cross multiply
    31,074.54x = 42,883.14 × 17,646.07
  4. Step 4: Simplify right side
    31,074.54x = 756,718,890.26
  5. Step 5: Solve for x
    x = 756,718,890.26/31,074.54
  6. Step 6: Final answer
    x = 24,351.73

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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.