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Finding the Fourth Proportional to 31,042.84, 42,837.78 and 16,895.80

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Solution

The fourth proportional to 31,042.84, 42,837.78 and 16,895.80 is: 23,315.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.84 : 42,837.78 = 16,895.80 : x
  2. Step 2: Convert to fraction form
    31,042.84/42,837.78 = 16,895.80/x
  3. Step 3: Cross multiply
    31,042.84x = 42,837.78 × 16,895.80
  4. Step 4: Simplify right side
    31,042.84x = 723,778,563.32
  5. Step 5: Solve for x
    x = 723,778,563.32/31,042.84
  6. Step 6: Final answer
    x = 23,315.48

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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.