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Finding the Fourth Proportional to 111,214.64, 166,831.07 and 32,328.78

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Solution

The fourth proportional to 111,214.64, 166,831.07 and 32,328.78 is: 48,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,214.64 : 166,831.07 = 32,328.78 : x
  2. Step 2: Convert to fraction form
    111,214.64/166,831.07 = 32,328.78/x
  3. Step 3: Cross multiply
    111,214.64x = 166,831.07 × 32,328.78
  4. Step 4: Simplify right side
    111,214.64x = 5,393,444,959.19
  5. Step 5: Solve for x
    x = 5,393,444,959.19/111,214.64
  6. Step 6: Final answer
    x = 48,495.82

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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.