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Finding the Fourth Proportional to 92,023.83, 138,035.64 and 29,694.33

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Solution

The fourth proportional to 92,023.83, 138,035.64 and 29,694.33 is: 44,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,023.83 : 138,035.64 = 29,694.33 : x
  2. Step 2: Convert to fraction form
    92,023.83/138,035.64 = 29,694.33/x
  3. Step 3: Cross multiply
    92,023.83x = 138,035.64 × 29,694.33
  4. Step 4: Simplify right side
    92,023.83x = 4,098,875,845.92
  5. Step 5: Solve for x
    x = 4,098,875,845.92/92,023.83
  6. Step 6: Final answer
    x = 44,541.46

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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.