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Finding the Fourth Proportional to 92,494.50, 138,763.62 and 30,165

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Solution

The fourth proportional to 92,494.50, 138,763.62 and 30,165 is: 45,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,494.50 : 138,763.62 = 30,165 : x
  2. Step 2: Convert to fraction form
    92,494.50/138,763.62 = 30,165/x
  3. Step 3: Cross multiply
    92,494.50x = 138,763.62 × 30,165
  4. Step 4: Simplify right side
    92,494.50x = 4,185,804,597.30
  5. Step 5: Solve for x
    x = 4,185,804,597.30/92,494.50
  6. Step 6: Final answer
    x = 45,254.63

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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.