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Finding the Fourth Proportional to 47,846.84, 66,047.02 and 35,944.70

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Solution

The fourth proportional to 47,846.84, 66,047.02 and 35,944.70 is: 49,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,846.84 : 66,047.02 = 35,944.70 : x
  2. Step 2: Convert to fraction form
    47,846.84/66,047.02 = 35,944.70/x
  3. Step 3: Cross multiply
    47,846.84x = 66,047.02 × 35,944.70
  4. Step 4: Simplify right side
    47,846.84x = 2,374,040,319.79
  5. Step 5: Solve for x
    x = 2,374,040,319.79/47,846.84
  6. Step 6: Final answer
    x = 49,617.49

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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.