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Finding the Fourth Proportional to 47,677.97, 65,798.70 and 27,540.97

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Solution

The fourth proportional to 47,677.97, 65,798.70 and 27,540.97 is: 38,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.97 : 65,798.70 = 27,540.97 : x
  2. Step 2: Convert to fraction form
    47,677.97/65,798.70 = 27,540.97/x
  3. Step 3: Cross multiply
    47,677.97x = 65,798.70 × 27,540.97
  4. Step 4: Simplify right side
    47,677.97x = 1,812,159,754.96
  5. Step 5: Solve for x
    x = 1,812,159,754.96/47,677.97
  6. Step 6: Final answer
    x = 38,008.32

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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.