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Finding the Fourth Proportional to 32,575.02, 48,864.42 and 9,199.50

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Solution

The fourth proportional to 32,575.02, 48,864.42 and 9,199.50 is: 13,799.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.02 : 48,864.42 = 9,199.50 : x
  2. Step 2: Convert to fraction form
    32,575.02/48,864.42 = 9,199.50/x
  3. Step 3: Cross multiply
    32,575.02x = 48,864.42 × 9,199.50
  4. Step 4: Simplify right side
    32,575.02x = 449,528,231.79
  5. Step 5: Solve for x
    x = 449,528,231.79/32,575.02
  6. Step 6: Final answer
    x = 13,799.78

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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.