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Finding the Fourth Proportional to 56,974.65, 85,396.81 and 35,637.06

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Solution

The fourth proportional to 56,974.65, 85,396.81 and 35,637.06 is: 53,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,974.65 : 85,396.81 = 35,637.06 : x
  2. Step 2: Convert to fraction form
    56,974.65/85,396.81 = 35,637.06/x
  3. Step 3: Cross multiply
    56,974.65x = 85,396.81 × 35,637.06
  4. Step 4: Simplify right side
    56,974.65x = 3,043,291,241.78
  5. Step 5: Solve for x
    x = 3,043,291,241.78/56,974.65
  6. Step 6: Final answer
    x = 53,414.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.