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Finding the Fourth Proportional to 31,038.84, 42,832.08 and 16,891.20

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Solution

The fourth proportional to 31,038.84, 42,832.08 and 16,891.20 is: 23,309.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.84 : 42,832.08 = 16,891.20 : x
  2. Step 2: Convert to fraction form
    31,038.84/42,832.08 = 16,891.20/x
  3. Step 3: Cross multiply
    31,038.84x = 42,832.08 × 16,891.20
  4. Step 4: Simplify right side
    31,038.84x = 723,485,229.70
  5. Step 5: Solve for x
    x = 723,485,229.70/31,038.84
  6. Step 6: Final answer
    x = 23,309.03

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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.