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Finding the Fourth Proportional to 123,322.68, 184,984.11 and 29,828.52

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Solution

The fourth proportional to 123,322.68, 184,984.11 and 29,828.52 is: 44,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,322.68 : 184,984.11 = 29,828.52 : x
  2. Step 2: Convert to fraction form
    123,322.68/184,984.11 = 29,828.52/x
  3. Step 3: Cross multiply
    123,322.68x = 184,984.11 × 29,828.52
  4. Step 4: Simplify right side
    123,322.68x = 5,517,802,224.82
  5. Step 5: Solve for x
    x = 5,517,802,224.82/123,322.68
  6. Step 6: Final answer
    x = 44,742.80

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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.