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Finding the Fourth Proportional to 27,285, 40,933.85 and 8,564.01

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Solution

The fourth proportional to 27,285, 40,933.85 and 8,564.01 is: 12,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285 : 40,933.85 = 8,564.01 : x
  2. Step 2: Convert to fraction form
    27,285/40,933.85 = 8,564.01/x
  3. Step 3: Cross multiply
    27,285x = 40,933.85 × 8,564.01
  4. Step 4: Simplify right side
    27,285x = 350,557,900.74
  5. Step 5: Solve for x
    x = 350,557,900.74/27,285
  6. Step 6: Final answer
    x = 12,848.01

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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.