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Finding the Fourth Proportional to 108,024, 162,027.84 and 37,908

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Solution

The fourth proportional to 108,024, 162,027.84 and 37,908 is: 56,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,024 : 162,027.84 = 37,908 : x
  2. Step 2: Convert to fraction form
    108,024/162,027.84 = 37,908/x
  3. Step 3: Cross multiply
    108,024x = 162,027.84 × 37,908
  4. Step 4: Simplify right side
    108,024x = 6,142,151,358.72
  5. Step 5: Solve for x
    x = 6,142,151,358.72/108,024
  6. Step 6: Final answer
    x = 56,859.14

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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.