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Finding the Fourth Proportional to 50,209.28, 69,289.50 and 27,547.85

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Solution

The fourth proportional to 50,209.28, 69,289.50 and 27,547.85 is: 38,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.28 : 69,289.50 = 27,547.85 : x
  2. Step 2: Convert to fraction form
    50,209.28/69,289.50 = 27,547.85/x
  3. Step 3: Cross multiply
    50,209.28x = 69,289.50 × 27,547.85
  4. Step 4: Simplify right side
    50,209.28x = 1,908,776,406.13
  5. Step 5: Solve for x
    x = 1,908,776,406.13/50,209.28
  6. Step 6: Final answer
    x = 38,016.41

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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.