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Finding the Fourth Proportional to 31,374.14, 47,060.60 and 8,000.78

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Solution

The fourth proportional to 31,374.14, 47,060.60 and 8,000.78 is: 12,001.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.14 : 47,060.60 = 8,000.78 : x
  2. Step 2: Convert to fraction form
    31,374.14/47,060.60 = 8,000.78/x
  3. Step 3: Cross multiply
    31,374.14x = 47,060.60 × 8,000.78
  4. Step 4: Simplify right side
    31,374.14x = 376,521,231.96
  5. Step 5: Solve for x
    x = 376,521,231.96/31,374.14
  6. Step 6: Final answer
    x = 12,001.01

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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.