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Finding the Fourth Proportional to 32,205.42, 48,315.58 and 10,017.62

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Solution

The fourth proportional to 32,205.42, 48,315.58 and 10,017.62 is: 15,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,205.42 : 48,315.58 = 10,017.62 : x
  2. Step 2: Convert to fraction form
    32,205.42/48,315.58 = 10,017.62/x
  3. Step 3: Cross multiply
    32,205.42x = 48,315.58 × 10,017.62
  4. Step 4: Simplify right side
    32,205.42x = 484,007,120.52
  5. Step 5: Solve for x
    x = 484,007,120.52/32,205.42
  6. Step 6: Final answer
    x = 15,028.75

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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.