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Finding the Fourth Proportional to 111,295.52, 166,941.76 and 27,055.47

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Solution

The fourth proportional to 111,295.52, 166,941.76 and 27,055.47 is: 40,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,295.52 : 166,941.76 = 27,055.47 : x
  2. Step 2: Convert to fraction form
    111,295.52/166,941.76 = 27,055.47/x
  3. Step 3: Cross multiply
    111,295.52x = 166,941.76 × 27,055.47
  4. Step 4: Simplify right side
    111,295.52x = 4,516,687,449.50
  5. Step 5: Solve for x
    x = 4,516,687,449.50/111,295.52
  6. Step 6: Final answer
    x = 40,582.83

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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.