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Finding the Fourth Proportional to 29,633.80, 40,895.16 and 17,698.20

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Solution

The fourth proportional to 29,633.80, 40,895.16 and 17,698.20 is: 24,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,633.80 : 40,895.16 = 17,698.20 : x
  2. Step 2: Convert to fraction form
    29,633.80/40,895.16 = 17,698.20/x
  3. Step 3: Cross multiply
    29,633.80x = 40,895.16 × 17,698.20
  4. Step 4: Simplify right side
    29,633.80x = 723,770,720.71
  5. Step 5: Solve for x
    x = 723,770,720.71/29,633.80
  6. Step 6: Final answer
    x = 24,423.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.