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Finding the Fourth Proportional to 65,846, 90,867.48 and 36,038

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Solution

The fourth proportional to 65,846, 90,867.48 and 36,038 is: 49,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846 : 90,867.48 = 36,038 : x
  2. Step 2: Convert to fraction form
    65,846/90,867.48 = 36,038/x
  3. Step 3: Cross multiply
    65,846x = 90,867.48 × 36,038
  4. Step 4: Simplify right side
    65,846x = 3,274,682,244.24
  5. Step 5: Solve for x
    x = 3,274,682,244.24/65,846
  6. Step 6: Final answer
    x = 49,732.44

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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.