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Finding the Fourth Proportional to 48,534.50, 66,984.10 and 31,777.22

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Solution

The fourth proportional to 48,534.50, 66,984.10 and 31,777.22 is: 43,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534.50 : 66,984.10 = 31,777.22 : x
  2. Step 2: Convert to fraction form
    48,534.50/66,984.10 = 31,777.22/x
  3. Step 3: Cross multiply
    48,534.50x = 66,984.10 × 31,777.22
  4. Step 4: Simplify right side
    48,534.50x = 2,128,568,482.20
  5. Step 5: Solve for x
    x = 2,128,568,482.20/48,534.50
  6. Step 6: Final answer
    x = 43,856.81

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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.