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Finding the Fourth Proportional to 82,099.74, 123,111.34 and 42,646.26

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Solution

The fourth proportional to 82,099.74, 123,111.34 and 42,646.26 is: 63,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,099.74 : 123,111.34 = 42,646.26 : x
  2. Step 2: Convert to fraction form
    82,099.74/123,111.34 = 42,646.26/x
  3. Step 3: Cross multiply
    82,099.74x = 123,111.34 × 42,646.26
  4. Step 4: Simplify right side
    82,099.74x = 5,250,238,214.59
  5. Step 5: Solve for x
    x = 5,250,238,214.59/82,099.74
  6. Step 6: Final answer
    x = 63,949.51

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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.