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Finding the Fourth Proportional to 32,134.80, 48,204.49 and 9,945.32

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Solution

The fourth proportional to 32,134.80, 48,204.49 and 9,945.32 is: 14,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.80 : 48,204.49 = 9,945.32 : x
  2. Step 2: Convert to fraction form
    32,134.80/48,204.49 = 9,945.32/x
  3. Step 3: Cross multiply
    32,134.80x = 48,204.49 × 9,945.32
  4. Step 4: Simplify right side
    32,134.80x = 479,409,078.49
  5. Step 5: Solve for x
    x = 479,409,078.49/32,134.80
  6. Step 6: Final answer
    x = 14,918.69

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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.