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Finding the Fourth Proportional to 107,911.69, 161,861.61 and 33,031.77

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Solution

The fourth proportional to 107,911.69, 161,861.61 and 33,031.77 is: 49,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,911.69 : 161,861.61 = 33,031.77 : x
  2. Step 2: Convert to fraction form
    107,911.69/161,861.61 = 33,031.77/x
  3. Step 3: Cross multiply
    107,911.69x = 161,861.61 × 33,031.77
  4. Step 4: Simplify right side
    107,911.69x = 5,346,575,473.35
  5. Step 5: Solve for x
    x = 5,346,575,473.35/107,911.69
  6. Step 6: Final answer
    x = 49,545.84

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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.