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Finding the Fourth Proportional to 109,216.06, 163,831.12 and 34,339.11

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Solution

The fourth proportional to 109,216.06, 163,831.12 and 34,339.11 is: 51,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216.06 : 163,831.12 = 34,339.11 : x
  2. Step 2: Convert to fraction form
    109,216.06/163,831.12 = 34,339.11/x
  3. Step 3: Cross multiply
    109,216.06x = 163,831.12 × 34,339.11
  4. Step 4: Simplify right side
    109,216.06x = 5,625,814,344.05
  5. Step 5: Solve for x
    x = 5,625,814,344.05/109,216.06
  6. Step 6: Final answer
    x = 51,510.87

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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.