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Finding the Fourth Proportional to 32,694.56, 48,998.64 and 11,898.08

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Solution

The fourth proportional to 32,694.56, 48,998.64 and 11,898.08 is: 17,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,694.56 : 48,998.64 = 11,898.08 : x
  2. Step 2: Convert to fraction form
    32,694.56/48,998.64 = 11,898.08/x
  3. Step 3: Cross multiply
    32,694.56x = 48,998.64 × 11,898.08
  4. Step 4: Simplify right side
    32,694.56x = 582,989,738.61
  5. Step 5: Solve for x
    x = 582,989,738.61/32,694.56
  6. Step 6: Final answer
    x = 17,831.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.