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Finding the Fourth Proportional to 31,376.76, 47,066.40 and 8,003.40

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Solution

The fourth proportional to 31,376.76, 47,066.40 and 8,003.40 is: 12,005.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,376.76 : 47,066.40 = 8,003.40 : x
  2. Step 2: Convert to fraction form
    31,376.76/47,066.40 = 8,003.40/x
  3. Step 3: Cross multiply
    31,376.76x = 47,066.40 × 8,003.40
  4. Step 4: Simplify right side
    31,376.76x = 376,691,225.76
  5. Step 5: Solve for x
    x = 376,691,225.76/31,376.76
  6. Step 6: Final answer
    x = 12,005.42

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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.