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Finding the Fourth Proportional to 50,641.56, 69,884.93 and 27,980.48

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Solution

The fourth proportional to 50,641.56, 69,884.93 and 27,980.48 is: 38,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,641.56 : 69,884.93 = 27,980.48 : x
  2. Step 2: Convert to fraction form
    50,641.56/69,884.93 = 27,980.48/x
  3. Step 3: Cross multiply
    50,641.56x = 69,884.93 × 27,980.48
  4. Step 4: Simplify right side
    50,641.56x = 1,955,414,130.83
  5. Step 5: Solve for x
    x = 1,955,414,130.83/50,641.56
  6. Step 6: Final answer
    x = 38,612.83

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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.