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Finding the Fourth Proportional to 32,609.40, 48,900.44 and 10,416.83

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Solution

The fourth proportional to 32,609.40, 48,900.44 and 10,416.83 is: 15,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.40 : 48,900.44 = 10,416.83 : x
  2. Step 2: Convert to fraction form
    32,609.40/48,900.44 = 10,416.83/x
  3. Step 3: Cross multiply
    32,609.40x = 48,900.44 × 10,416.83
  4. Step 4: Simplify right side
    32,609.40x = 509,387,273.82
  5. Step 5: Solve for x
    x = 509,387,273.82/32,609.40
  6. Step 6: Final answer
    x = 15,620.87

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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.