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Finding the Fourth Proportional to 50,189.28, 69,264.36 and 27,833.28

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Solution

The fourth proportional to 50,189.28, 69,264.36 and 27,833.28 is: 38,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,189.28 : 69,264.36 = 27,833.28 : x
  2. Step 2: Convert to fraction form
    50,189.28/69,264.36 = 27,833.28/x
  3. Step 3: Cross multiply
    50,189.28x = 69,264.36 × 27,833.28
  4. Step 4: Simplify right side
    50,189.28x = 1,927,854,325.90
  5. Step 5: Solve for x
    x = 1,927,854,325.90/50,189.28
  6. Step 6: Final answer
    x = 38,411.68

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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.