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Finding the Fourth Proportional to 123,227.28, 184,840.80 and 29,733

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Solution

The fourth proportional to 123,227.28, 184,840.80 and 29,733 is: 44,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,227.28 : 184,840.80 = 29,733 : x
  2. Step 2: Convert to fraction form
    123,227.28/184,840.80 = 29,733/x
  3. Step 3: Cross multiply
    123,227.28x = 184,840.80 × 29,733
  4. Step 4: Simplify right side
    123,227.28x = 5,495,871,506.40
  5. Step 5: Solve for x
    x = 5,495,871,506.40/123,227.28
  6. Step 6: Final answer
    x = 44,599.47

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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.