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Finding the Fourth Proportional to 27,768.02, 41,652.64 and 9,048.02

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Solution

The fourth proportional to 27,768.02, 41,652.64 and 9,048.02 is: 13,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,768.02 : 41,652.64 = 9,048.02 : x
  2. Step 2: Convert to fraction form
    27,768.02/41,652.64 = 9,048.02/x
  3. Step 3: Cross multiply
    27,768.02x = 41,652.64 × 9,048.02
  4. Step 4: Simplify right side
    27,768.02x = 376,873,919.77
  5. Step 5: Solve for x
    x = 376,873,919.77/27,768.02
  6. Step 6: Final answer
    x = 13,572.23

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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.