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Finding the Fourth Proportional to 26,972.80, 40,502.40 and 20,406.40

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Solution

The fourth proportional to 26,972.80, 40,502.40 and 20,406.40 is: 30,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972.80 : 40,502.40 = 20,406.40 : x
  2. Step 2: Convert to fraction form
    26,972.80/40,502.40 = 20,406.40/x
  3. Step 3: Cross multiply
    26,972.80x = 40,502.40 × 20,406.40
  4. Step 4: Simplify right side
    26,972.80x = 826,508,175.36
  5. Step 5: Solve for x
    x = 826,508,175.36/26,972.80
  6. Step 6: Final answer
    x = 30,642.28

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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.