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Finding the Fourth Proportional to 92,564, 138,846.40 and 22,443.44

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Solution

The fourth proportional to 92,564, 138,846.40 and 22,443.44 is: 33,665.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,564 : 138,846.40 = 22,443.44 : x
  2. Step 2: Convert to fraction form
    92,564/138,846.40 = 22,443.44/x
  3. Step 3: Cross multiply
    92,564x = 138,846.40 × 22,443.44
  4. Step 4: Simplify right side
    92,564x = 3,116,190,847.62
  5. Step 5: Solve for x
    x = 3,116,190,847.62/92,564
  6. Step 6: Final answer
    x = 33,665.26

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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.