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Finding the Fourth Proportional to 29,931.89, 41,305.22 and 16,502.92

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Solution

The fourth proportional to 29,931.89, 41,305.22 and 16,502.92 is: 22,773.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931.89 : 41,305.22 = 16,502.92 : x
  2. Step 2: Convert to fraction form
    29,931.89/41,305.22 = 16,502.92/x
  3. Step 3: Cross multiply
    29,931.89x = 41,305.22 × 16,502.92
  4. Step 4: Simplify right side
    29,931.89x = 681,656,555.46
  5. Step 5: Solve for x
    x = 681,656,555.46/29,931.89
  6. Step 6: Final answer
    x = 22,773.59

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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.