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Finding the Fourth Proportional to 47,869, 66,060.74 and 29,958.28

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Solution

The fourth proportional to 47,869, 66,060.74 and 29,958.28 is: 41,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869 : 66,060.74 = 29,958.28 : x
  2. Step 2: Convert to fraction form
    47,869/66,060.74 = 29,958.28/x
  3. Step 3: Cross multiply
    47,869x = 66,060.74 × 29,958.28
  4. Step 4: Simplify right side
    47,869x = 1,979,066,145.93
  5. Step 5: Solve for x
    x = 1,979,066,145.93/47,869
  6. Step 6: Final answer
    x = 41,343.38

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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.