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Finding the Fourth Proportional to 92,129.96, 138,174.30 and 35,971.40

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Solution

The fourth proportional to 92,129.96, 138,174.30 and 35,971.40 is: 53,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,129.96 : 138,174.30 = 35,971.40 : x
  2. Step 2: Convert to fraction form
    92,129.96/138,174.30 = 35,971.40/x
  3. Step 3: Cross multiply
    92,129.96x = 138,174.30 × 35,971.40
  4. Step 4: Simplify right side
    92,129.96x = 4,970,323,015.02
  5. Step 5: Solve for x
    x = 4,970,323,015.02/92,129.96
  6. Step 6: Final answer
    x = 53,949.04

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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.