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Finding the Fourth Proportional to 29,770.72, 40,952.98 and 24,899.24

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Solution

The fourth proportional to 29,770.72, 40,952.98 and 24,899.24 is: 34,251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,770.72 : 40,952.98 = 24,899.24 : x
  2. Step 2: Convert to fraction form
    29,770.72/40,952.98 = 24,899.24/x
  3. Step 3: Cross multiply
    29,770.72x = 40,952.98 × 24,899.24
  4. Step 4: Simplify right side
    29,770.72x = 1,019,698,077.74
  5. Step 5: Solve for x
    x = 1,019,698,077.74/29,770.72
  6. Step 6: Final answer
    x = 34,251.71

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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.