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Finding the Fourth Proportional to 47,841, 66,024.42 and 27,972.84

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Solution

The fourth proportional to 47,841, 66,024.42 and 27,972.84 is: 38,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841 : 66,024.42 = 27,972.84 : x
  2. Step 2: Convert to fraction form
    47,841/66,024.42 = 27,972.84/x
  3. Step 3: Cross multiply
    47,841x = 66,024.42 × 27,972.84
  4. Step 4: Simplify right side
    47,841x = 1,846,890,536.75
  5. Step 5: Solve for x
    x = 1,846,890,536.75/47,841
  6. Step 6: Final answer
    x = 38,604.76

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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.