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Finding the Fourth Proportional to 47,435.89, 65,472.42 and 27,304.39

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Solution

The fourth proportional to 47,435.89, 65,472.42 and 27,304.39 is: 37,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,435.89 : 65,472.42 = 27,304.39 : x
  2. Step 2: Convert to fraction form
    47,435.89/65,472.42 = 27,304.39/x
  3. Step 3: Cross multiply
    47,435.89x = 65,472.42 × 27,304.39
  4. Step 4: Simplify right side
    47,435.89x = 1,787,684,489.92
  5. Step 5: Solve for x
    x = 1,787,684,489.92/47,435.89
  6. Step 6: Final answer
    x = 37,686.33

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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.