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Finding the Fourth Proportional to 50,535.66, 69,739.54 and 27,875.26

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Solution

The fourth proportional to 50,535.66, 69,739.54 and 27,875.26 is: 38,468.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,535.66 : 69,739.54 = 27,875.26 : x
  2. Step 2: Convert to fraction form
    50,535.66/69,739.54 = 27,875.26/x
  3. Step 3: Cross multiply
    50,535.66x = 69,739.54 × 27,875.26
  4. Step 4: Simplify right side
    50,535.66x = 1,944,007,809.78
  5. Step 5: Solve for x
    x = 1,944,007,809.78/50,535.66
  6. Step 6: Final answer
    x = 38,468.04

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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.