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Finding the Fourth Proportional to 39,896, 55,060.32 and 22,232

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Solution

The fourth proportional to 39,896, 55,060.32 and 22,232 is: 30,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,896 : 55,060.32 = 22,232 : x
  2. Step 2: Convert to fraction form
    39,896/55,060.32 = 22,232/x
  3. Step 3: Cross multiply
    39,896x = 55,060.32 × 22,232
  4. Step 4: Simplify right side
    39,896x = 1,224,101,034.24
  5. Step 5: Solve for x
    x = 1,224,101,034.24/39,896
  6. Step 6: Final answer
    x = 30,682.30

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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.