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Finding the Fourth Proportional to 50,468.85, 69,646.10 and 27,809.93

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Solution

The fourth proportional to 50,468.85, 69,646.10 and 27,809.93 is: 38,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,468.85 : 69,646.10 = 27,809.93 : x
  2. Step 2: Convert to fraction form
    50,468.85/69,646.10 = 27,809.93/x
  3. Step 3: Cross multiply
    50,468.85x = 69,646.10 × 27,809.93
  4. Step 4: Simplify right side
    50,468.85x = 1,936,853,200.84
  5. Step 5: Solve for x
    x = 1,936,853,200.84/50,468.85
  6. Step 6: Final answer
    x = 38,377.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.