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Finding the Fourth Proportional to 31,324.80, 46,982.19 and 9,132.99

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Solution

The fourth proportional to 31,324.80, 46,982.19 and 9,132.99 is: 13,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.80 : 46,982.19 = 9,132.99 : x
  2. Step 2: Convert to fraction form
    31,324.80/46,982.19 = 9,132.99/x
  3. Step 3: Cross multiply
    31,324.80x = 46,982.19 × 9,132.99
  4. Step 4: Simplify right side
    31,324.80x = 429,087,871.45
  5. Step 5: Solve for x
    x = 429,087,871.45/31,324.80
  6. Step 6: Final answer
    x = 13,698.02

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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.