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Finding the Fourth Proportional to 48,166.50, 66,469.77 and 31,399.50

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Solution

The fourth proportional to 48,166.50, 66,469.77 and 31,399.50 is: 43,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,166.50 : 66,469.77 = 31,399.50 : x
  2. Step 2: Convert to fraction form
    48,166.50/66,469.77 = 31,399.50/x
  3. Step 3: Cross multiply
    48,166.50x = 66,469.77 × 31,399.50
  4. Step 4: Simplify right side
    48,166.50x = 2,087,117,543.12
  5. Step 5: Solve for x
    x = 2,087,117,543.12/48,166.50
  6. Step 6: Final answer
    x = 43,331.31

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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.