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Finding the Fourth Proportional to 50,209.95, 69,289.14 and 27,549.15

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Solution

The fourth proportional to 50,209.95, 69,289.14 and 27,549.15 is: 38,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.95 : 69,289.14 = 27,549.15 : x
  2. Step 2: Convert to fraction form
    50,209.95/69,289.14 = 27,549.15/x
  3. Step 3: Cross multiply
    50,209.95x = 69,289.14 × 27,549.15
  4. Step 4: Simplify right side
    50,209.95x = 1,908,856,911.23
  5. Step 5: Solve for x
    x = 1,908,856,911.23/50,209.95
  6. Step 6: Final answer
    x = 38,017.50

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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.