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Finding the Fourth Proportional to 32,961.96, 49,442.96 and 9,272.03

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Solution

The fourth proportional to 32,961.96, 49,442.96 and 9,272.03 is: 13,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.96 : 49,442.96 = 9,272.03 : x
  2. Step 2: Convert to fraction form
    32,961.96/49,442.96 = 9,272.03/x
  3. Step 3: Cross multiply
    32,961.96x = 49,442.96 × 9,272.03
  4. Step 4: Simplify right side
    32,961.96x = 458,436,608.41
  5. Step 5: Solve for x
    x = 458,436,608.41/32,961.96
  6. Step 6: Final answer
    x = 13,908.05

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1.5x scale

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.