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Finding the Fourth Proportional to 108,002.24, 162,027.04 and 33,128

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Solution

The fourth proportional to 108,002.24, 162,027.04 and 33,128 is: 49,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.24 : 162,027.04 = 33,128 : x
  2. Step 2: Convert to fraction form
    108,002.24/162,027.04 = 33,128/x
  3. Step 3: Cross multiply
    108,002.24x = 162,027.04 × 33,128
  4. Step 4: Simplify right side
    108,002.24x = 5,367,631,781.12
  5. Step 5: Solve for x
    x = 5,367,631,781.12/108,002.24
  6. Step 6: Final answer
    x = 49,699.26

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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.