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Finding the Fourth Proportional to 35,965.62, 49,650.17 and 27,881.42

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Solution

The fourth proportional to 35,965.62, 49,650.17 and 27,881.42 is: 38,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.62 : 49,650.17 = 27,881.42 : x
  2. Step 2: Convert to fraction form
    35,965.62/49,650.17 = 27,881.42/x
  3. Step 3: Cross multiply
    35,965.62x = 49,650.17 × 27,881.42
  4. Step 4: Simplify right side
    35,965.62x = 1,384,316,855.18
  5. Step 5: Solve for x
    x = 1,384,316,855.18/35,965.62
  6. Step 6: Final answer
    x = 38,490.00

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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.