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Finding the Fourth Proportional to 47,091.49, 64,957.42 and 27,958.27

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Solution

The fourth proportional to 47,091.49, 64,957.42 and 27,958.27 is: 38,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,091.49 : 64,957.42 = 27,958.27 : x
  2. Step 2: Convert to fraction form
    47,091.49/64,957.42 = 27,958.27/x
  3. Step 3: Cross multiply
    47,091.49x = 64,957.42 × 27,958.27
  4. Step 4: Simplify right side
    47,091.49x = 1,816,097,086.86
  5. Step 5: Solve for x
    x = 1,816,097,086.86/47,091.49
  6. Step 6: Final answer
    x = 38,565.29

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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.