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Finding the Fourth Proportional to 50,462.52, 69,643.71 and 27,803.81

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Solution

The fourth proportional to 50,462.52, 69,643.71 and 27,803.81 is: 38,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,462.52 : 69,643.71 = 27,803.81 : x
  2. Step 2: Convert to fraction form
    50,462.52/69,643.71 = 27,803.81/x
  3. Step 3: Cross multiply
    50,462.52x = 69,643.71 × 27,803.81
  4. Step 4: Simplify right side
    50,462.52x = 1,936,360,132.32
  5. Step 5: Solve for x
    x = 1,936,360,132.32/50,462.52
  6. Step 6: Final answer
    x = 38,372.24

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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.