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Finding the Fourth Proportional to 35,766.62, 49,361.04 and 19,854.14

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Solution

The fourth proportional to 35,766.62, 49,361.04 and 19,854.14 is: 27,400.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.62 : 49,361.04 = 19,854.14 : x
  2. Step 2: Convert to fraction form
    35,766.62/49,361.04 = 19,854.14/x
  3. Step 3: Cross multiply
    35,766.62x = 49,361.04 × 19,854.14
  4. Step 4: Simplify right side
    35,766.62x = 980,020,998.71
  5. Step 5: Solve for x
    x = 980,020,998.71/35,766.62
  6. Step 6: Final answer
    x = 27,400.44

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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.