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Finding the Fourth Proportional to 81,571.40, 122,401.68 and 31,653.46

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Solution

The fourth proportional to 81,571.40, 122,401.68 and 31,653.46 is: 47,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,571.40 : 122,401.68 = 31,653.46 : x
  2. Step 2: Convert to fraction form
    81,571.40/122,401.68 = 31,653.46/x
  3. Step 3: Cross multiply
    81,571.40x = 122,401.68 × 31,653.46
  4. Step 4: Simplify right side
    81,571.40x = 3,874,436,681.81
  5. Step 5: Solve for x
    x = 3,874,436,681.81/81,571.40
  6. Step 6: Final answer
    x = 47,497.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.