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Finding the Fourth Proportional to 106,002, 159,003.27 and 32,130

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Solution

The fourth proportional to 106,002, 159,003.27 and 32,130 is: 48,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,002 : 159,003.27 = 32,130 : x
  2. Step 2: Convert to fraction form
    106,002/159,003.27 = 32,130/x
  3. Step 3: Cross multiply
    106,002x = 159,003.27 × 32,130
  4. Step 4: Simplify right side
    106,002x = 5,108,775,065.10
  5. Step 5: Solve for x
    x = 5,108,775,065.10/106,002
  6. Step 6: Final answer
    x = 48,195.08

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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.