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Finding the Fourth Proportional to 32,406.89, 48,610.53 and 9,033.53

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Solution

The fourth proportional to 32,406.89, 48,610.53 and 9,033.53 is: 13,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.89 : 48,610.53 = 9,033.53 : x
  2. Step 2: Convert to fraction form
    32,406.89/48,610.53 = 9,033.53/x
  3. Step 3: Cross multiply
    32,406.89x = 48,610.53 × 9,033.53
  4. Step 4: Simplify right side
    32,406.89x = 439,124,438.02
  5. Step 5: Solve for x
    x = 439,124,438.02/32,406.89
  6. Step 6: Final answer
    x = 13,550.34

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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.