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Finding the Fourth Proportional to 31,019.50, 46,506.57 and 9,947.55

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Solution

The fourth proportional to 31,019.50, 46,506.57 and 9,947.55 is: 14,914.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,019.50 : 46,506.57 = 9,947.55 : x
  2. Step 2: Convert to fraction form
    31,019.50/46,506.57 = 9,947.55/x
  3. Step 3: Cross multiply
    31,019.50x = 46,506.57 × 9,947.55
  4. Step 4: Simplify right side
    31,019.50x = 462,626,175.10
  5. Step 5: Solve for x
    x = 462,626,175.10/31,019.50
  6. Step 6: Final answer
    x = 14,914.04

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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.