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Finding the Fourth Proportional to 86,006.34, 129,058.65 and 33,408.99

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Solution

The fourth proportional to 86,006.34, 129,058.65 and 33,408.99 is: 50,132.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006.34 : 129,058.65 = 33,408.99 : x
  2. Step 2: Convert to fraction form
    86,006.34/129,058.65 = 33,408.99/x
  3. Step 3: Cross multiply
    86,006.34x = 129,058.65 × 33,408.99
  4. Step 4: Simplify right side
    86,006.34x = 4,311,719,147.26
  5. Step 5: Solve for x
    x = 4,311,719,147.26/86,006.34
  6. Step 6: Final answer
    x = 50,132.57

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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.