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Finding the Fourth Proportional to 86,165.34, 129,222.89 and 33,562.32

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Solution

The fourth proportional to 86,165.34, 129,222.89 and 33,562.32 is: 50,333.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,165.34 : 129,222.89 = 33,562.32 : x
  2. Step 2: Convert to fraction form
    86,165.34/129,222.89 = 33,562.32/x
  3. Step 3: Cross multiply
    86,165.34x = 129,222.89 × 33,562.32
  4. Step 4: Simplify right side
    86,165.34x = 4,337,019,985.50
  5. Step 5: Solve for x
    x = 4,337,019,985.50/86,165.34
  6. Step 6: Final answer
    x = 50,333.70

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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.