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Finding the Fourth Proportional to 31,083.68, 42,895.32 and 16,937.12

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Solution

The fourth proportional to 31,083.68, 42,895.32 and 16,937.12 is: 23,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.68 : 42,895.32 = 16,937.12 : x
  2. Step 2: Convert to fraction form
    31,083.68/42,895.32 = 16,937.12/x
  3. Step 3: Cross multiply
    31,083.68x = 42,895.32 × 16,937.12
  4. Step 4: Simplify right side
    31,083.68x = 726,523,182.28
  5. Step 5: Solve for x
    x = 726,523,182.28/31,083.68
  6. Step 6: Final answer
    x = 23,373.14

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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.