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Finding the Fourth Proportional to 50,598.48, 69,830 and 27,939.52

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Solution

The fourth proportional to 50,598.48, 69,830 and 27,939.52 is: 38,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598.48 : 69,830 = 27,939.52 : x
  2. Step 2: Convert to fraction form
    50,598.48/69,830 = 27,939.52/x
  3. Step 3: Cross multiply
    50,598.48x = 69,830 × 27,939.52
  4. Step 4: Simplify right side
    50,598.48x = 1,951,016,681.60
  5. Step 5: Solve for x
    x = 1,951,016,681.60/50,598.48
  6. Step 6: Final answer
    x = 38,558.80

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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.