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Finding the Fourth Proportional to 31,078.28, 42,888.06 and 16,931.13

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Solution

The fourth proportional to 31,078.28, 42,888.06 and 16,931.13 is: 23,364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.28 : 42,888.06 = 16,931.13 : x
  2. Step 2: Convert to fraction form
    31,078.28/42,888.06 = 16,931.13/x
  3. Step 3: Cross multiply
    31,078.28x = 42,888.06 × 16,931.13
  4. Step 4: Simplify right side
    31,078.28x = 726,143,110.86
  5. Step 5: Solve for x
    x = 726,143,110.86/31,078.28
  6. Step 6: Final answer
    x = 23,364.97

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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.