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Finding the Fourth Proportional to 31,490.42, 47,234.90 and 12,765.45

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Solution

The fourth proportional to 31,490.42, 47,234.90 and 12,765.45 is: 19,147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.42 : 47,234.90 = 12,765.45 : x
  2. Step 2: Convert to fraction form
    31,490.42/47,234.90 = 12,765.45/x
  3. Step 3: Cross multiply
    31,490.42x = 47,234.90 × 12,765.45
  4. Step 4: Simplify right side
    31,490.42x = 602,974,754.21
  5. Step 5: Solve for x
    x = 602,974,754.21/31,490.42
  6. Step 6: Final answer
    x = 19,147.88

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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.