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Finding the Fourth Proportional to 32,082.76, 48,132.36 and 13,356.58

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Solution

The fourth proportional to 32,082.76, 48,132.36 and 13,356.58 is: 20,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.76 : 48,132.36 = 13,356.58 : x
  2. Step 2: Convert to fraction form
    32,082.76/48,132.36 = 13,356.58/x
  3. Step 3: Cross multiply
    32,082.76x = 48,132.36 × 13,356.58
  4. Step 4: Simplify right side
    32,082.76x = 642,883,716.93
  5. Step 5: Solve for x
    x = 642,883,716.93/32,082.76
  6. Step 6: Final answer
    x = 20,038.29

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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.