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Finding the Fourth Proportional to 31,591.98, 47,417.13 and 16,020.54

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Solution

The fourth proportional to 31,591.98, 47,417.13 and 16,020.54 is: 24,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.98 : 47,417.13 = 16,020.54 : x
  2. Step 2: Convert to fraction form
    31,591.98/47,417.13 = 16,020.54/x
  3. Step 3: Cross multiply
    31,591.98x = 47,417.13 × 16,020.54
  4. Step 4: Simplify right side
    31,591.98x = 759,648,027.85
  5. Step 5: Solve for x
    x = 759,648,027.85/31,591.98
  6. Step 6: Final answer
    x = 24,045.60

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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.