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Finding the Fourth Proportional to 29,675.46, 40,952.07 and 17,738.22

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Solution

The fourth proportional to 29,675.46, 40,952.07 and 17,738.22 is: 24,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675.46 : 40,952.07 = 17,738.22 : x
  2. Step 2: Convert to fraction form
    29,675.46/40,952.07 = 17,738.22/x
  3. Step 3: Cross multiply
    29,675.46x = 40,952.07 × 17,738.22
  4. Step 4: Simplify right side
    29,675.46x = 726,416,827.12
  5. Step 5: Solve for x
    x = 726,416,827.12/29,675.46
  6. Step 6: Final answer
    x = 24,478.70

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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.