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Finding the Fourth Proportional to 71,153.36, 106,733.88 and 31,713.20

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Solution

The fourth proportional to 71,153.36, 106,733.88 and 31,713.20 is: 47,571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,153.36 : 106,733.88 = 31,713.20 : x
  2. Step 2: Convert to fraction form
    71,153.36/106,733.88 = 31,713.20/x
  3. Step 3: Cross multiply
    71,153.36x = 106,733.88 × 31,713.20
  4. Step 4: Simplify right side
    71,153.36x = 3,384,872,883.22
  5. Step 5: Solve for x
    x = 3,384,872,883.22/71,153.36
  6. Step 6: Final answer
    x = 47,571.51

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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.