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Finding the Fourth Proportional to 35,642.76, 49,186.89 and 21,496.38

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Solution

The fourth proportional to 35,642.76, 49,186.89 and 21,496.38 is: 29,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,642.76 : 49,186.89 = 21,496.38 : x
  2. Step 2: Convert to fraction form
    35,642.76/49,186.89 = 21,496.38/x
  3. Step 3: Cross multiply
    35,642.76x = 49,186.89 × 21,496.38
  4. Step 4: Simplify right side
    35,642.76x = 1,057,340,078.46
  5. Step 5: Solve for x
    x = 1,057,340,078.46/35,642.76
  6. Step 6: Final answer
    x = 29,664.93

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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.