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Finding the Fourth Proportional to 109,663.20, 164,494.80 and 47,333.70

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Solution

The fourth proportional to 109,663.20, 164,494.80 and 47,333.70 is: 71,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.20 : 164,494.80 = 47,333.70 : x
  2. Step 2: Convert to fraction form
    109,663.20/164,494.80 = 47,333.70/x
  3. Step 3: Cross multiply
    109,663.20x = 164,494.80 × 47,333.70
  4. Step 4: Simplify right side
    109,663.20x = 7,786,147,514.76
  5. Step 5: Solve for x
    x = 7,786,147,514.76/109,663.20
  6. Step 6: Final answer
    x = 71,000.55

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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.