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Finding the Fourth Proportional to 31,648.85, 47,475.99 and 8,275.25

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Solution

The fourth proportional to 31,648.85, 47,475.99 and 8,275.25 is: 12,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.85 : 47,475.99 = 8,275.25 : x
  2. Step 2: Convert to fraction form
    31,648.85/47,475.99 = 8,275.25/x
  3. Step 3: Cross multiply
    31,648.85x = 47,475.99 × 8,275.25
  4. Step 4: Simplify right side
    31,648.85x = 392,875,644.87
  5. Step 5: Solve for x
    x = 392,875,644.87/31,648.85
  6. Step 6: Final answer
    x = 12,413.58

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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.