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Finding the Fourth Proportional to 50,209.66, 69,288.73 and 27,548.85

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Solution

The fourth proportional to 50,209.66, 69,288.73 and 27,548.85 is: 38,017.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.66 : 69,288.73 = 27,548.85 : x
  2. Step 2: Convert to fraction form
    50,209.66/69,288.73 = 27,548.85/x
  3. Step 3: Cross multiply
    50,209.66x = 69,288.73 × 27,548.85
  4. Step 4: Simplify right side
    50,209.66x = 1,908,824,829.46
  5. Step 5: Solve for x
    x = 1,908,824,829.46/50,209.66
  6. Step 6: Final answer
    x = 38,017.08

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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.