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Finding the Fourth Proportional to 31,107.70, 46,661.55 and 15,523.30

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Solution

The fourth proportional to 31,107.70, 46,661.55 and 15,523.30 is: 23,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.70 : 46,661.55 = 15,523.30 : x
  2. Step 2: Convert to fraction form
    31,107.70/46,661.55 = 15,523.30/x
  3. Step 3: Cross multiply
    31,107.70x = 46,661.55 × 15,523.30
  4. Step 4: Simplify right side
    31,107.70x = 724,341,239.12
  5. Step 5: Solve for x
    x = 724,341,239.12/31,107.70
  6. Step 6: Final answer
    x = 23,284.95

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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.