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Finding the Fourth Proportional to 31,390.72, 47,086.04 and 8,017.16

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Solution

The fourth proportional to 31,390.72, 47,086.04 and 8,017.16 is: 12,025.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.72 : 47,086.04 = 8,017.16 : x
  2. Step 2: Convert to fraction form
    31,390.72/47,086.04 = 8,017.16/x
  3. Step 3: Cross multiply
    31,390.72x = 47,086.04 × 8,017.16
  4. Step 4: Simplify right side
    31,390.72x = 377,496,316.45
  5. Step 5: Solve for x
    x = 377,496,316.45/31,390.72
  6. Step 6: Final answer
    x = 12,025.73

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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.