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Finding the Fourth Proportional to 82,297.16, 123,451.54 and 40,733

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Solution

The fourth proportional to 82,297.16, 123,451.54 and 40,733 is: 61,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,297.16 : 123,451.54 = 40,733 : x
  2. Step 2: Convert to fraction form
    82,297.16/123,451.54 = 40,733/x
  3. Step 3: Cross multiply
    82,297.16x = 123,451.54 × 40,733
  4. Step 4: Simplify right side
    82,297.16x = 5,028,551,578.82
  5. Step 5: Solve for x
    x = 5,028,551,578.82/82,297.16
  6. Step 6: Final answer
    x = 61,102.37

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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.