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Finding the Fourth Proportional to 32,145.51, 48,204.74 and 12,151.62

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Solution

The fourth proportional to 32,145.51, 48,204.74 and 12,151.62 is: 18,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,145.51 : 48,204.74 = 12,151.62 : x
  2. Step 2: Convert to fraction form
    32,145.51/48,204.74 = 12,151.62/x
  3. Step 3: Cross multiply
    32,145.51x = 48,204.74 × 12,151.62
  4. Step 4: Simplify right side
    32,145.51x = 585,765,621.92
  5. Step 5: Solve for x
    x = 585,765,621.92/32,145.51
  6. Step 6: Final answer
    x = 18,222.32

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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.