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Finding the Fourth Proportional to 43,535.66, 60,082.71 and 24,674

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Solution

The fourth proportional to 43,535.66, 60,082.71 and 24,674 is: 34,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,535.66 : 60,082.71 = 24,674 : x
  2. Step 2: Convert to fraction form
    43,535.66/60,082.71 = 24,674/x
  3. Step 3: Cross multiply
    43,535.66x = 60,082.71 × 24,674
  4. Step 4: Simplify right side
    43,535.66x = 1,482,480,786.54
  5. Step 5: Solve for x
    x = 1,482,480,786.54/43,535.66
  6. Step 6: Final answer
    x = 34,052.10

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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.