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Finding the Fourth Proportional to 50,484.46, 69,672.57 and 27,827.48

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Solution

The fourth proportional to 50,484.46, 69,672.57 and 27,827.48 is: 38,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,484.46 : 69,672.57 = 27,827.48 : x
  2. Step 2: Convert to fraction form
    50,484.46/69,672.57 = 27,827.48/x
  3. Step 3: Cross multiply
    50,484.46x = 69,672.57 × 27,827.48
  4. Step 4: Simplify right side
    50,484.46x = 1,938,812,076.42
  5. Step 5: Solve for x
    x = 1,938,812,076.42/50,484.46
  6. Step 6: Final answer
    x = 38,404.14

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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.