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Finding the Fourth Proportional to 32,406.36, 48,610.58 and 10,219.94

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Solution

The fourth proportional to 32,406.36, 48,610.58 and 10,219.94 is: 15,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.36 : 48,610.58 = 10,219.94 : x
  2. Step 2: Convert to fraction form
    32,406.36/48,610.58 = 10,219.94/x
  3. Step 3: Cross multiply
    32,406.36x = 48,610.58 × 10,219.94
  4. Step 4: Simplify right side
    32,406.36x = 496,796,916.81
  5. Step 5: Solve for x
    x = 496,796,916.81/32,406.36
  6. Step 6: Final answer
    x = 15,330.23

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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.