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Finding the Fourth Proportional to 50,537.66, 69,742.30 and 27,877.26

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Solution

The fourth proportional to 50,537.66, 69,742.30 and 27,877.26 is: 38,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,537.66 : 69,742.30 = 27,877.26 : x
  2. Step 2: Convert to fraction form
    50,537.66/69,742.30 = 27,877.26/x
  3. Step 3: Cross multiply
    50,537.66x = 69,742.30 × 27,877.26
  4. Step 4: Simplify right side
    50,537.66x = 1,944,224,230.10
  5. Step 5: Solve for x
    x = 1,944,224,230.10/50,537.66
  6. Step 6: Final answer
    x = 38,470.80

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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.