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Finding the Fourth Proportional to 47,679.84, 65,801.16 and 27,540.41

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Solution

The fourth proportional to 47,679.84, 65,801.16 and 27,540.41 is: 38,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.84 : 65,801.16 = 27,540.41 : x
  2. Step 2: Convert to fraction form
    47,679.84/65,801.16 = 27,540.41/x
  3. Step 3: Cross multiply
    47,679.84x = 65,801.16 × 27,540.41
  4. Step 4: Simplify right side
    47,679.84x = 1,812,190,595.87
  5. Step 5: Solve for x
    x = 1,812,190,595.87/47,679.84
  6. Step 6: Final answer
    x = 38,007.48

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1.5x scale

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.