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Finding the Fourth Proportional to 50,485.69, 69,669.90 and 27,824.70

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Solution

The fourth proportional to 50,485.69, 69,669.90 and 27,824.70 is: 38,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485.69 : 69,669.90 = 27,824.70 : x
  2. Step 2: Convert to fraction form
    50,485.69/69,669.90 = 27,824.70/x
  3. Step 3: Cross multiply
    50,485.69x = 69,669.90 × 27,824.70
  4. Step 4: Simplify right side
    50,485.69x = 1,938,544,066.53
  5. Step 5: Solve for x
    x = 1,938,544,066.53/50,485.69
  6. Step 6: Final answer
    x = 38,397.89

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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.