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Finding the Fourth Proportional to 90,587.72, 135,869.32 and 34,442

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Solution

The fourth proportional to 90,587.72, 135,869.32 and 34,442 is: 51,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,587.72 : 135,869.32 = 34,442 : x
  2. Step 2: Convert to fraction form
    90,587.72/135,869.32 = 34,442/x
  3. Step 3: Cross multiply
    90,587.72x = 135,869.32 × 34,442
  4. Step 4: Simplify right side
    90,587.72x = 4,679,611,119.44
  5. Step 5: Solve for x
    x = 4,679,611,119.44/90,587.72
  6. Step 6: Final answer
    x = 51,658.34

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