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Finding the Fourth Proportional to 31,566.80, 47,401.40 and 22,862.80

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Solution

The fourth proportional to 31,566.80, 47,401.40 and 22,862.80 is: 34,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.80 : 47,401.40 = 22,862.80 : x
  2. Step 2: Convert to fraction form
    31,566.80/47,401.40 = 22,862.80/x
  3. Step 3: Cross multiply
    31,566.80x = 47,401.40 × 22,862.80
  4. Step 4: Simplify right side
    31,566.80x = 1,083,728,727.92
  5. Step 5: Solve for x
    x = 1,083,728,727.92/31,566.80
  6. Step 6: Final answer
    x = 34,331.28

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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.