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Finding the Fourth Proportional to 47,709.84, 65,842.56 and 27,570.41

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Solution

The fourth proportional to 47,709.84, 65,842.56 and 27,570.41 is: 38,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.84 : 65,842.56 = 27,570.41 : x
  2. Step 2: Convert to fraction form
    47,709.84/65,842.56 = 27,570.41/x
  3. Step 3: Cross multiply
    47,709.84x = 65,842.56 × 27,570.41
  4. Step 4: Simplify right side
    47,709.84x = 1,815,306,045.44
  5. Step 5: Solve for x
    x = 1,815,306,045.44/47,709.84
  6. Step 6: Final answer
    x = 38,048.88

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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.