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Finding the Fourth Proportional to 36,176, 49,943.36 and 27,328.64

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Solution

The fourth proportional to 36,176, 49,943.36 and 27,328.64 is: 37,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,176 : 49,943.36 = 27,328.64 : x
  2. Step 2: Convert to fraction form
    36,176/49,943.36 = 27,328.64/x
  3. Step 3: Cross multiply
    36,176x = 49,943.36 × 27,328.64
  4. Step 4: Simplify right side
    36,176x = 1,364,884,105.83
  5. Step 5: Solve for x
    x = 1,364,884,105.83/36,176
  6. Step 6: Final answer
    x = 37,728.99

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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.