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Finding the Fourth Proportional to 65,197.64, 89,954.61 and 36,902.72

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Solution

The fourth proportional to 65,197.64, 89,954.61 and 36,902.72 is: 50,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.64 : 89,954.61 = 36,902.72 : x
  2. Step 2: Convert to fraction form
    65,197.64/89,954.61 = 36,902.72/x
  3. Step 3: Cross multiply
    65,197.64x = 89,954.61 × 36,902.72
  4. Step 4: Simplify right side
    65,197.64x = 3,319,569,785.54
  5. Step 5: Solve for x
    x = 3,319,569,785.54/65,197.64
  6. Step 6: Final answer
    x = 50,915.49

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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.