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Finding the Fourth Proportional to 31,072.80, 42,879.02 and 17,642.18

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Solution

The fourth proportional to 31,072.80, 42,879.02 and 17,642.18 is: 24,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.80 : 42,879.02 = 17,642.18 : x
  2. Step 2: Convert to fraction form
    31,072.80/42,879.02 = 17,642.18/x
  3. Step 3: Cross multiply
    31,072.80x = 42,879.02 × 17,642.18
  4. Step 4: Simplify right side
    31,072.80x = 756,479,389.06
  5. Step 5: Solve for x
    x = 756,479,389.06/31,072.80
  6. Step 6: Final answer
    x = 24,345.39

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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.