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Finding the Fourth Proportional to 65,146.32, 89,886.24 and 38,286.72

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Solution

The fourth proportional to 65,146.32, 89,886.24 and 38,286.72 is: 52,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.32 : 89,886.24 = 38,286.72 : x
  2. Step 2: Convert to fraction form
    65,146.32/89,886.24 = 38,286.72/x
  3. Step 3: Cross multiply
    65,146.32x = 89,886.24 × 38,286.72
  4. Step 4: Simplify right side
    65,146.32x = 3,441,449,302.73
  5. Step 5: Solve for x
    x = 3,441,449,302.73/65,146.32
  6. Step 6: Final answer
    x = 52,826.46

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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.