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Finding the Fourth Proportional to 32,083.06, 48,129.38 and 13,352.43

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Solution

The fourth proportional to 32,083.06, 48,129.38 and 13,352.43 is: 20,030.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.06 : 48,129.38 = 13,352.43 : x
  2. Step 2: Convert to fraction form
    32,083.06/48,129.38 = 13,352.43/x
  3. Step 3: Cross multiply
    32,083.06x = 48,129.38 × 13,352.43
  4. Step 4: Simplify right side
    32,083.06x = 642,644,254.73
  5. Step 5: Solve for x
    x = 642,644,254.73/32,083.06
  6. Step 6: Final answer
    x = 20,030.64

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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.