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Finding the Fourth Proportional to 31,555.98, 47,325.78 and 9,364.14

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Solution

The fourth proportional to 31,555.98, 47,325.78 and 9,364.14 is: 14,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,555.98 : 47,325.78 = 9,364.14 : x
  2. Step 2: Convert to fraction form
    31,555.98/47,325.78 = 9,364.14/x
  3. Step 3: Cross multiply
    31,555.98x = 47,325.78 × 9,364.14
  4. Step 4: Simplify right side
    31,555.98x = 443,165,229.53
  5. Step 5: Solve for x
    x = 443,165,229.53/31,555.98
  6. Step 6: Final answer
    x = 14,043.78

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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.