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Finding the Fourth Proportional to 31,071.84, 42,879.30 and 16,924.68

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Solution

The fourth proportional to 31,071.84, 42,879.30 and 16,924.68 is: 23,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,071.84 : 42,879.30 = 16,924.68 : x
  2. Step 2: Convert to fraction form
    31,071.84/42,879.30 = 16,924.68/x
  3. Step 3: Cross multiply
    31,071.84x = 42,879.30 × 16,924.68
  4. Step 4: Simplify right side
    31,071.84x = 725,718,431.12
  5. Step 5: Solve for x
    x = 725,718,431.12/31,071.84
  6. Step 6: Final answer
    x = 23,356.15

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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.