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Finding the Fourth Proportional to 31,500.98, 47,251.81 and 13,486.78

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Solution

The fourth proportional to 31,500.98, 47,251.81 and 13,486.78 is: 20,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.98 : 47,251.81 = 13,486.78 : x
  2. Step 2: Convert to fraction form
    31,500.98/47,251.81 = 13,486.78/x
  3. Step 3: Cross multiply
    31,500.98x = 47,251.81 × 13,486.78
  4. Step 4: Simplify right side
    31,500.98x = 637,274,529.81
  5. Step 5: Solve for x
    x = 637,274,529.81/31,500.98
  6. Step 6: Final answer
    x = 20,230.31

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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.