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Finding the Fourth Proportional to 32,605.68, 48,912.60 and 9,232.10

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Solution

The fourth proportional to 32,605.68, 48,912.60 and 9,232.10 is: 13,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,605.68 : 48,912.60 = 9,232.10 : x
  2. Step 2: Convert to fraction form
    32,605.68/48,912.60 = 9,232.10/x
  3. Step 3: Cross multiply
    32,605.68x = 48,912.60 × 9,232.10
  4. Step 4: Simplify right side
    32,605.68x = 451,566,014.46
  5. Step 5: Solve for x
    x = 451,566,014.46/32,605.68
  6. Step 6: Final answer
    x = 13,849.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.