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Finding the Fourth Proportional to 35,971.62, 49,658.46 and 27,887.40

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Solution

The fourth proportional to 35,971.62, 49,658.46 and 27,887.40 is: 38,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.62 : 49,658.46 = 27,887.40 : x
  2. Step 2: Convert to fraction form
    35,971.62/49,658.46 = 27,887.40/x
  3. Step 3: Cross multiply
    35,971.62x = 49,658.46 × 27,887.40
  4. Step 4: Simplify right side
    35,971.62x = 1,384,845,337.40
  5. Step 5: Solve for x
    x = 1,384,845,337.40/35,971.62
  6. Step 6: Final answer
    x = 38,498.28

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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.