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Finding the Fourth Proportional to 29,894.56, 41,227.02 and 19,681.28

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Solution

The fourth proportional to 29,894.56, 41,227.02 and 19,681.28 is: 27,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.56 : 41,227.02 = 19,681.28 : x
  2. Step 2: Convert to fraction form
    29,894.56/41,227.02 = 19,681.28/x
  3. Step 3: Cross multiply
    29,894.56x = 41,227.02 × 19,681.28
  4. Step 4: Simplify right side
    29,894.56x = 811,400,524.19
  5. Step 5: Solve for x
    x = 811,400,524.19/29,894.56
  6. Step 6: Final answer
    x = 27,142.08

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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.