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Finding the Fourth Proportional to 32,135.22, 48,196.89 and 9,944.46

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Solution

The fourth proportional to 32,135.22, 48,196.89 and 9,944.46 is: 14,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,135.22 : 48,196.89 = 9,944.46 : x
  2. Step 2: Convert to fraction form
    32,135.22/48,196.89 = 9,944.46/x
  3. Step 3: Cross multiply
    32,135.22x = 48,196.89 × 9,944.46
  4. Step 4: Simplify right side
    32,135.22x = 479,292,044.73
  5. Step 5: Solve for x
    x = 479,292,044.73/32,135.22
  6. Step 6: Final answer
    x = 14,914.85

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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.