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Finding the Fourth Proportional to 32,136.81, 48,207.50 and 9,947.32

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Solution

The fourth proportional to 32,136.81, 48,207.50 and 9,947.32 is: 14,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.81 : 48,207.50 = 9,947.32 : x
  2. Step 2: Convert to fraction form
    32,136.81/48,207.50 = 9,947.32/x
  3. Step 3: Cross multiply
    32,136.81x = 48,207.50 × 9,947.32
  4. Step 4: Simplify right side
    32,136.81x = 479,535,428.90
  5. Step 5: Solve for x
    x = 479,535,428.90/32,136.81
  6. Step 6: Final answer
    x = 14,921.69

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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.