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Finding the Fourth Proportional to 65,736.96, 98,576.20 and 40,776

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Solution

The fourth proportional to 65,736.96, 98,576.20 and 40,776 is: 61,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736.96 : 98,576.20 = 40,776 : x
  2. Step 2: Convert to fraction form
    65,736.96/98,576.20 = 40,776/x
  3. Step 3: Cross multiply
    65,736.96x = 98,576.20 × 40,776
  4. Step 4: Simplify right side
    65,736.96x = 4,019,543,131.20
  5. Step 5: Solve for x
    x = 4,019,543,131.20/65,736.96
  6. Step 6: Final answer
    x = 61,145.86

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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.