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Finding the Fourth Proportional to 32,431.25, 48,648.80 and 9,057.69

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Solution

The fourth proportional to 32,431.25, 48,648.80 and 9,057.69 is: 13,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.25 : 48,648.80 = 9,057.69 : x
  2. Step 2: Convert to fraction form
    32,431.25/48,648.80 = 9,057.69/x
  3. Step 3: Cross multiply
    32,431.25x = 48,648.80 × 9,057.69
  4. Step 4: Simplify right side
    32,431.25x = 440,645,771.92
  5. Step 5: Solve for x
    x = 440,645,771.92/32,431.25
  6. Step 6: Final answer
    x = 13,587.07

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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.