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Finding the Fourth Proportional to 106,004, 159,006.27 and 32,132

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Solution

The fourth proportional to 106,004, 159,006.27 and 32,132 is: 48,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,004 : 159,006.27 = 32,132 : x
  2. Step 2: Convert to fraction form
    106,004/159,006.27 = 32,132/x
  3. Step 3: Cross multiply
    106,004x = 159,006.27 × 32,132
  4. Step 4: Simplify right side
    106,004x = 5,109,189,467.64
  5. Step 5: Solve for x
    x = 5,109,189,467.64/106,004
  6. Step 6: Final answer
    x = 48,198.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.