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Finding the Fourth Proportional to 65,374.46, 90,213.90 and 36,301.02

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Solution

The fourth proportional to 65,374.46, 90,213.90 and 36,301.02 is: 50,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,374.46 : 90,213.90 = 36,301.02 : x
  2. Step 2: Convert to fraction form
    65,374.46/90,213.90 = 36,301.02/x
  3. Step 3: Cross multiply
    65,374.46x = 90,213.90 × 36,301.02
  4. Step 4: Simplify right side
    65,374.46x = 3,274,856,588.18
  5. Step 5: Solve for x
    x = 3,274,856,588.18/65,374.46
  6. Step 6: Final answer
    x = 50,093.82

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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.