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Finding the Fourth Proportional to 31,616.94, 47,454.12 and 16,838.40

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Solution

The fourth proportional to 31,616.94, 47,454.12 and 16,838.40 is: 25,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.94 : 47,454.12 = 16,838.40 : x
  2. Step 2: Convert to fraction form
    31,616.94/47,454.12 = 16,838.40/x
  3. Step 3: Cross multiply
    31,616.94x = 47,454.12 × 16,838.40
  4. Step 4: Simplify right side
    31,616.94x = 799,051,454.21
  5. Step 5: Solve for x
    x = 799,051,454.21/31,616.94
  6. Step 6: Final answer
    x = 25,272.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.