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Finding the Fourth Proportional to 32,573.13, 48,859.89 and 9,199.77

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Solution

The fourth proportional to 32,573.13, 48,859.89 and 9,199.77 is: 13,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,573.13 : 48,859.89 = 9,199.77 : x
  2. Step 2: Convert to fraction form
    32,573.13/48,859.89 = 9,199.77/x
  3. Step 3: Cross multiply
    32,573.13x = 48,859.89 × 9,199.77
  4. Step 4: Simplify right side
    32,573.13x = 449,499,750.23
  5. Step 5: Solve for x
    x = 449,499,750.23/32,573.13
  6. Step 6: Final answer
    x = 13,799.71

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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.