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Finding the Fourth Proportional to 92,566.86, 138,850.31 and 22,446.16

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Solution

The fourth proportional to 92,566.86, 138,850.31 and 22,446.16 is: 33,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,566.86 : 138,850.31 = 22,446.16 : x
  2. Step 2: Convert to fraction form
    92,566.86/138,850.31 = 22,446.16/x
  3. Step 3: Cross multiply
    92,566.86x = 138,850.31 × 22,446.16
  4. Step 4: Simplify right side
    92,566.86x = 3,116,656,274.31
  5. Step 5: Solve for x
    x = 3,116,656,274.31/92,566.86
  6. Step 6: Final answer
    x = 33,669.24

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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.