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Finding the Fourth Proportional to 73,092.54, 109,652.46 and 23,159.22

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Solution

The fourth proportional to 73,092.54, 109,652.46 and 23,159.22 is: 34,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,092.54 : 109,652.46 = 23,159.22 : x
  2. Step 2: Convert to fraction form
    73,092.54/109,652.46 = 23,159.22/x
  3. Step 3: Cross multiply
    73,092.54x = 109,652.46 × 23,159.22
  4. Step 4: Simplify right side
    73,092.54x = 2,539,465,444.68
  5. Step 5: Solve for x
    x = 2,539,465,444.68/73,092.54
  6. Step 6: Final answer
    x = 34,743.15

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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.