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Finding the Fourth Proportional to 32,196.42, 48,294.63 and 10,011.20

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Solution

The fourth proportional to 32,196.42, 48,294.63 and 10,011.20 is: 15,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.42 : 48,294.63 = 10,011.20 : x
  2. Step 2: Convert to fraction form
    32,196.42/48,294.63 = 10,011.20/x
  3. Step 3: Cross multiply
    32,196.42x = 48,294.63 × 10,011.20
  4. Step 4: Simplify right side
    32,196.42x = 483,486,958.38
  5. Step 5: Solve for x
    x = 483,486,958.38/32,196.42
  6. Step 6: Final answer
    x = 15,016.79

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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.