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Finding the Fourth Proportional to 50,484.56, 69,669.18 and 27,824.39

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Solution

The fourth proportional to 50,484.56, 69,669.18 and 27,824.39 is: 38,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,484.56 : 69,669.18 = 27,824.39 : x
  2. Step 2: Convert to fraction form
    50,484.56/69,669.18 = 27,824.39/x
  3. Step 3: Cross multiply
    50,484.56x = 69,669.18 × 27,824.39
  4. Step 4: Simplify right side
    50,484.56x = 1,938,502,086.95
  5. Step 5: Solve for x
    x = 1,938,502,086.95/50,484.56
  6. Step 6: Final answer
    x = 38,397.92

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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.