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Finding the Fourth Proportional to 31,482.54, 47,223.81 and 8,108.37

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Solution

The fourth proportional to 31,482.54, 47,223.81 and 8,108.37 is: 12,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.54 : 47,223.81 = 8,108.37 : x
  2. Step 2: Convert to fraction form
    31,482.54/47,223.81 = 8,108.37/x
  3. Step 3: Cross multiply
    31,482.54x = 47,223.81 × 8,108.37
  4. Step 4: Simplify right side
    31,482.54x = 382,908,124.29
  5. Step 5: Solve for x
    x = 382,908,124.29/31,482.54
  6. Step 6: Final answer
    x = 12,162.56

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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.