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Finding the Fourth Proportional to 31,299.39, 46,949.88 and 10,522.89

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Solution

The fourth proportional to 31,299.39, 46,949.88 and 10,522.89 is: 15,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.39 : 46,949.88 = 10,522.89 : x
  2. Step 2: Convert to fraction form
    31,299.39/46,949.88 = 10,522.89/x
  3. Step 3: Cross multiply
    31,299.39x = 46,949.88 × 10,522.89
  4. Step 4: Simplify right side
    31,299.39x = 494,048,422.75
  5. Step 5: Solve for x
    x = 494,048,422.75/31,299.39
  6. Step 6: Final answer
    x = 15,784.60

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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.