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Finding the Fourth Proportional to 111,328.60, 166,976.70 and 32,434.60

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Solution

The fourth proportional to 111,328.60, 166,976.70 and 32,434.60 is: 48,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,328.60 : 166,976.70 = 32,434.60 : x
  2. Step 2: Convert to fraction form
    111,328.60/166,976.70 = 32,434.60/x
  3. Step 3: Cross multiply
    111,328.60x = 166,976.70 × 32,434.60
  4. Step 4: Simplify right side
    111,328.60x = 5,415,822,473.82
  5. Step 5: Solve for x
    x = 5,415,822,473.82/111,328.60
  6. Step 6: Final answer
    x = 48,647.18

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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.