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Finding the Fourth Proportional to 89,432.34, 134,175.34 and 36,096.88

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Solution

The fourth proportional to 89,432.34, 134,175.34 and 36,096.88 is: 54,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,432.34 : 134,175.34 = 36,096.88 : x
  2. Step 2: Convert to fraction form
    89,432.34/134,175.34 = 36,096.88/x
  3. Step 3: Cross multiply
    89,432.34x = 134,175.34 × 36,096.88
  4. Step 4: Simplify right side
    89,432.34x = 4,843,311,146.94
  5. Step 5: Solve for x
    x = 4,843,311,146.94/89,432.34
  6. Step 6: Final answer
    x = 54,156.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.