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Finding the Fourth Proportional to 31,038.93, 42,832.40 and 16,891.74

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Solution

The fourth proportional to 31,038.93, 42,832.40 and 16,891.74 is: 23,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,038.93 : 42,832.40 = 16,891.74 : x
  2. Step 2: Convert to fraction form
    31,038.93/42,832.40 = 16,891.74/x
  3. Step 3: Cross multiply
    31,038.93x = 42,832.40 × 16,891.74
  4. Step 4: Simplify right side
    31,038.93x = 723,513,679.92
  5. Step 5: Solve for x
    x = 723,513,679.92/31,038.93
  6. Step 6: Final answer
    x = 23,309.88

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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.