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Finding the Fourth Proportional to 27,207.84, 40,811.76 and 7,488.48

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Solution

The fourth proportional to 27,207.84, 40,811.76 and 7,488.48 is: 11,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,207.84 : 40,811.76 = 7,488.48 : x
  2. Step 2: Convert to fraction form
    27,207.84/40,811.76 = 7,488.48/x
  3. Step 3: Cross multiply
    27,207.84x = 40,811.76 × 7,488.48
  4. Step 4: Simplify right side
    27,207.84x = 305,618,048.52
  5. Step 5: Solve for x
    x = 305,618,048.52/27,207.84
  6. Step 6: Final answer
    x = 11,232.72

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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.