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Finding the Fourth Proportional to 47,057.50, 64,910.82 and 27,924.67

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Solution

The fourth proportional to 47,057.50, 64,910.82 and 27,924.67 is: 38,519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,057.50 : 64,910.82 = 27,924.67 : x
  2. Step 2: Convert to fraction form
    47,057.50/64,910.82 = 27,924.67/x
  3. Step 3: Cross multiply
    47,057.50x = 64,910.82 × 27,924.67
  4. Step 4: Simplify right side
    47,057.50x = 1,812,613,227.93
  5. Step 5: Solve for x
    x = 1,812,613,227.93/47,057.50
  6. Step 6: Final answer
    x = 38,519.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.