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Finding the Fourth Proportional to 92,093.25, 138,109.50 and 29,749.17

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Solution

The fourth proportional to 92,093.25, 138,109.50 and 29,749.17 is: 44,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,093.25 : 138,109.50 = 29,749.17 : x
  2. Step 2: Convert to fraction form
    92,093.25/138,109.50 = 29,749.17/x
  3. Step 3: Cross multiply
    92,093.25x = 138,109.50 × 29,749.17
  4. Step 4: Simplify right side
    92,093.25x = 4,108,642,994.12
  5. Step 5: Solve for x
    x = 4,108,642,994.12/92,093.25
  6. Step 6: Final answer
    x = 44,613.94

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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.