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Finding the Fourth Proportional to 86,165.40, 129,195.18 and 33,513.51

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Solution

The fourth proportional to 86,165.40, 129,195.18 and 33,513.51 is: 50,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,165.40 : 129,195.18 = 33,513.51 : x
  2. Step 2: Convert to fraction form
    86,165.40/129,195.18 = 33,513.51/x
  3. Step 3: Cross multiply
    86,165.40x = 129,195.18 × 33,513.51
  4. Step 4: Simplify right side
    86,165.40x = 4,329,783,956.88
  5. Step 5: Solve for x
    x = 4,329,783,956.88/86,165.40
  6. Step 6: Final answer
    x = 50,249.68

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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.