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Finding the Fourth Proportional to 32,162.13, 48,254.54 and 9,981.09

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Solution

The fourth proportional to 32,162.13, 48,254.54 and 9,981.09 is: 14,975.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.13 : 48,254.54 = 9,981.09 : x
  2. Step 2: Convert to fraction form
    32,162.13/48,254.54 = 9,981.09/x
  3. Step 3: Cross multiply
    32,162.13x = 48,254.54 × 9,981.09
  4. Step 4: Simplify right side
    32,162.13x = 481,632,856.74
  5. Step 5: Solve for x
    x = 481,632,856.74/32,162.13
  6. Step 6: Final answer
    x = 14,975.15

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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.