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Finding the Fourth Proportional to 47,754.17, 65,901.14 and 29,859.54

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Solution

The fourth proportional to 47,754.17, 65,901.14 and 29,859.54 is: 41,206.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754.17 : 65,901.14 = 29,859.54 : x
  2. Step 2: Convert to fraction form
    47,754.17/65,901.14 = 29,859.54/x
  3. Step 3: Cross multiply
    47,754.17x = 65,901.14 × 29,859.54
  4. Step 4: Simplify right side
    47,754.17x = 1,967,777,725.88
  5. Step 5: Solve for x
    x = 1,967,777,725.88/47,754.17
  6. Step 6: Final answer
    x = 41,206.41

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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.