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Finding the Fourth Proportional to 92,156.27, 138,233.00 and 29,826.77

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Solution

The fourth proportional to 92,156.27, 138,233.00 and 29,826.77 is: 44,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,156.27 : 138,233.00 = 29,826.77 : x
  2. Step 2: Convert to fraction form
    92,156.27/138,233.00 = 29,826.77/x
  3. Step 3: Cross multiply
    92,156.27x = 138,233.00 × 29,826.77
  4. Step 4: Simplify right side
    92,156.27x = 4,123,043,280.81
  5. Step 5: Solve for x
    x = 4,123,043,280.81/92,156.27
  6. Step 6: Final answer
    x = 44,739.70

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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.