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Finding the Fourth Proportional to 92,263.86, 138,366.63 and 33,098.22

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Solution

The fourth proportional to 92,263.86, 138,366.63 and 33,098.22 is: 49,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,263.86 : 138,366.63 = 33,098.22 : x
  2. Step 2: Convert to fraction form
    92,263.86/138,366.63 = 33,098.22/x
  3. Step 3: Cross multiply
    92,263.86x = 138,366.63 × 33,098.22
  4. Step 4: Simplify right side
    92,263.86x = 4,579,689,160.40
  5. Step 5: Solve for x
    x = 4,579,689,160.40/92,263.86
  6. Step 6: Final answer
    x = 49,636.87

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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.