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Finding the Fourth Proportional to 27,752.87, 41,609.84 and 10,220.45

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Solution

The fourth proportional to 27,752.87, 41,609.84 and 10,220.45 is: 15,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.87 : 41,609.84 = 10,220.45 : x
  2. Step 2: Convert to fraction form
    27,752.87/41,609.84 = 10,220.45/x
  3. Step 3: Cross multiply
    27,752.87x = 41,609.84 × 10,220.45
  4. Step 4: Simplify right side
    27,752.87x = 425,271,238.13
  5. Step 5: Solve for x
    x = 425,271,238.13/27,752.87
  6. Step 6: Final answer
    x = 15,323.50

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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.