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Finding the Fourth Proportional to 31,071.54, 42,879.80 and 17,642.36

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Solution

The fourth proportional to 31,071.54, 42,879.80 and 17,642.36 is: 24,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.54 : 42,879.80 = 17,642.36 : x
  2. Step 2: Convert to fraction form
    31,071.54/42,879.80 = 17,642.36/x
  3. Step 3: Cross multiply
    31,071.54x = 42,879.80 × 17,642.36
  4. Step 4: Simplify right side
    31,071.54x = 756,500,868.33
  5. Step 5: Solve for x
    x = 756,500,868.33/31,071.54
  6. Step 6: Final answer
    x = 24,347.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.