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Finding the Fourth Proportional to 29,877.64, 41,186.94 and 19,121.38

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Solution

The fourth proportional to 29,877.64, 41,186.94 and 19,121.38 is: 26,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,877.64 : 41,186.94 = 19,121.38 : x
  2. Step 2: Convert to fraction form
    29,877.64/41,186.94 = 19,121.38/x
  3. Step 3: Cross multiply
    29,877.64x = 41,186.94 × 19,121.38
  4. Step 4: Simplify right side
    29,877.64x = 787,551,130.78
  5. Step 5: Solve for x
    x = 787,551,130.78/29,877.64
  6. Step 6: Final answer
    x = 26,359.21

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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.