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Finding the Fourth Proportional to 31,318, 46,979.22 and 12,598.14

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Solution

The fourth proportional to 31,318, 46,979.22 and 12,598.14 is: 18,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318 : 46,979.22 = 12,598.14 : x
  2. Step 2: Convert to fraction form
    31,318/46,979.22 = 12,598.14/x
  3. Step 3: Cross multiply
    31,318x = 46,979.22 × 12,598.14
  4. Step 4: Simplify right side
    31,318x = 591,850,790.65
  5. Step 5: Solve for x
    x = 591,850,790.65/31,318
  6. Step 6: Final answer
    x = 18,898.10

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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.