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Finding the Fourth Proportional to 31,310.96, 46,974.58 and 9,123.82

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Solution

The fourth proportional to 31,310.96, 46,974.58 and 9,123.82 is: 13,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.96 : 46,974.58 = 9,123.82 : x
  2. Step 2: Convert to fraction form
    31,310.96/46,974.58 = 9,123.82/x
  3. Step 3: Cross multiply
    31,310.96x = 46,974.58 × 9,123.82
  4. Step 4: Simplify right side
    31,310.96x = 428,587,612.50
  5. Step 5: Solve for x
    x = 428,587,612.50/31,310.96
  6. Step 6: Final answer
    x = 13,688.10

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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.