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Finding the Fourth Proportional to 50,404.59, 69,557.27 and 27,742.41

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Solution

The fourth proportional to 50,404.59, 69,557.27 and 27,742.41 is: 38,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.59 : 69,557.27 = 27,742.41 : x
  2. Step 2: Convert to fraction form
    50,404.59/69,557.27 = 27,742.41/x
  3. Step 3: Cross multiply
    50,404.59x = 69,557.27 × 27,742.41
  4. Step 4: Simplify right side
    50,404.59x = 1,929,686,164.11
  5. Step 5: Solve for x
    x = 1,929,686,164.11/50,404.59
  6. Step 6: Final answer
    x = 38,283.94

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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.