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Finding the Fourth Proportional to 31,016.84, 42,803.10 and 16,869.70

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Solution

The fourth proportional to 31,016.84, 42,803.10 and 16,869.70 is: 23,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.84 : 42,803.10 = 16,869.70 : x
  2. Step 2: Convert to fraction form
    31,016.84/42,803.10 = 16,869.70/x
  3. Step 3: Cross multiply
    31,016.84x = 42,803.10 × 16,869.70
  4. Step 4: Simplify right side
    31,016.84x = 722,075,456.07
  5. Step 5: Solve for x
    x = 722,075,456.07/31,016.84
  6. Step 6: Final answer
    x = 23,280.11

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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.