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Finding the Fourth Proportional to 32,185.42, 48,278.14 and 9,998.81

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Solution

The fourth proportional to 32,185.42, 48,278.14 and 9,998.81 is: 14,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.42 : 48,278.14 = 9,998.81 : x
  2. Step 2: Convert to fraction form
    32,185.42/48,278.14 = 9,998.81/x
  3. Step 3: Cross multiply
    32,185.42x = 48,278.14 × 9,998.81
  4. Step 4: Simplify right side
    32,185.42x = 482,723,919.91
  5. Step 5: Solve for x
    x = 482,723,919.91/32,185.42
  6. Step 6: Final answer
    x = 14,998.22

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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.