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Finding the Fourth Proportional to 29,642.80, 44,247.80 and 25,906

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Solution

The fourth proportional to 29,642.80, 44,247.80 and 25,906 is: 38,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,642.80 : 44,247.80 = 25,906 : x
  2. Step 2: Convert to fraction form
    29,642.80/44,247.80 = 25,906/x
  3. Step 3: Cross multiply
    29,642.80x = 44,247.80 × 25,906
  4. Step 4: Simplify right side
    29,642.80x = 1,146,283,506.80
  5. Step 5: Solve for x
    x = 1,146,283,506.80/29,642.80
  6. Step 6: Final answer
    x = 38,669.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.