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Finding the Fourth Proportional to 35,265, 48,622.50 and 27,687.72

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Solution

The fourth proportional to 35,265, 48,622.50 and 27,687.72 is: 38,175.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,265 : 48,622.50 = 27,687.72 : x
  2. Step 2: Convert to fraction form
    35,265/48,622.50 = 27,687.72/x
  3. Step 3: Cross multiply
    35,265x = 48,622.50 × 27,687.72
  4. Step 4: Simplify right side
    35,265x = 1,346,246,165.70
  5. Step 5: Solve for x
    x = 1,346,246,165.70/35,265
  6. Step 6: Final answer
    x = 38,175.14

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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.