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Finding the Fourth Proportional to 31,107.20, 46,660.80 and 15,522.80

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Solution

The fourth proportional to 31,107.20, 46,660.80 and 15,522.80 is: 23,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.20 : 46,660.80 = 15,522.80 : x
  2. Step 2: Convert to fraction form
    31,107.20/46,660.80 = 15,522.80/x
  3. Step 3: Cross multiply
    31,107.20x = 46,660.80 × 15,522.80
  4. Step 4: Simplify right side
    31,107.20x = 724,306,266.24
  5. Step 5: Solve for x
    x = 724,306,266.24/31,107.20
  6. Step 6: Final answer
    x = 23,284.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.