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Finding the Fourth Proportional to 32,205.42, 48,309.75 and 8,832.06

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Solution

The fourth proportional to 32,205.42, 48,309.75 and 8,832.06 is: 13,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.42 : 48,309.75 = 8,832.06 : x
  2. Step 2: Convert to fraction form
    32,205.42/48,309.75 = 8,832.06/x
  3. Step 3: Cross multiply
    32,205.42x = 48,309.75 × 8,832.06
  4. Step 4: Simplify right side
    32,205.42x = 426,674,610.59
  5. Step 5: Solve for x
    x = 426,674,610.59/32,205.42
  6. Step 6: Final answer
    x = 13,248.53

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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.