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Finding the Fourth Proportional to 31,136.81, 42,970.50 and 16,989.75

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Solution

The fourth proportional to 31,136.81, 42,970.50 and 16,989.75 is: 23,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136.81 : 42,970.50 = 16,989.75 : x
  2. Step 2: Convert to fraction form
    31,136.81/42,970.50 = 16,989.75/x
  3. Step 3: Cross multiply
    31,136.81x = 42,970.50 × 16,989.75
  4. Step 4: Simplify right side
    31,136.81x = 730,058,052.38
  5. Step 5: Solve for x
    x = 730,058,052.38/31,136.81
  6. Step 6: Final answer
    x = 23,446.79

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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.