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Finding the Fourth Proportional to 47,422.82, 65,474.00 and 30,434.38

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Solution

The fourth proportional to 47,422.82, 65,474.00 and 30,434.38 is: 42,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,422.82 : 65,474.00 = 30,434.38 : x
  2. Step 2: Convert to fraction form
    47,422.82/65,474.00 = 30,434.38/x
  3. Step 3: Cross multiply
    47,422.82x = 65,474.00 × 30,434.38
  4. Step 4: Simplify right side
    47,422.82x = 1,992,660,677.09
  5. Step 5: Solve for x
    x = 1,992,660,677.09/47,422.82
  6. Step 6: Final answer
    x = 42,019.03

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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.