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Finding the Fourth Proportional to 92,309.58, 138,464.33 and 22,188.87

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Solution

The fourth proportional to 92,309.58, 138,464.33 and 22,188.87 is: 33,283.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309.58 : 138,464.33 = 22,188.87 : x
  2. Step 2: Convert to fraction form
    92,309.58/138,464.33 = 22,188.87/x
  3. Step 3: Cross multiply
    92,309.58x = 138,464.33 × 22,188.87
  4. Step 4: Simplify right side
    92,309.58x = 3,072,366,907.06
  5. Step 5: Solve for x
    x = 3,072,366,907.06/92,309.58
  6. Step 6: Final answer
    x = 33,283.29

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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.