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Finding the Fourth Proportional to 31,088.16, 42,901.68 and 16,941

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Solution

The fourth proportional to 31,088.16, 42,901.68 and 16,941 is: 23,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,088.16 : 42,901.68 = 16,941 : x
  2. Step 2: Convert to fraction form
    31,088.16/42,901.68 = 16,941/x
  3. Step 3: Cross multiply
    31,088.16x = 42,901.68 × 16,941
  4. Step 4: Simplify right side
    31,088.16x = 726,797,360.88
  5. Step 5: Solve for x
    x = 726,797,360.88/31,088.16
  6. Step 6: Final answer
    x = 23,378.59

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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.