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Finding the Fourth Proportional to 31,040.40, 42,812.88 and 19,700.16

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Solution

The fourth proportional to 31,040.40, 42,812.88 and 19,700.16 is: 27,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,040.40 : 42,812.88 = 19,700.16 : x
  2. Step 2: Convert to fraction form
    31,040.40/42,812.88 = 19,700.16/x
  3. Step 3: Cross multiply
    31,040.40x = 42,812.88 × 19,700.16
  4. Step 4: Simplify right side
    31,040.40x = 843,420,586.06
  5. Step 5: Solve for x
    x = 843,420,586.06/31,040.40
  6. Step 6: Final answer
    x = 27,171.70

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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.