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Finding the Fourth Proportional to 92,200.48, 138,269.91 and 36,026.02

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Solution

The fourth proportional to 92,200.48, 138,269.91 and 36,026.02 is: 54,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,200.48 : 138,269.91 = 36,026.02 : x
  2. Step 2: Convert to fraction form
    92,200.48/138,269.91 = 36,026.02/x
  3. Step 3: Cross multiply
    92,200.48x = 138,269.91 × 36,026.02
  4. Step 4: Simplify right side
    92,200.48x = 4,981,314,543.06
  5. Step 5: Solve for x
    x = 4,981,314,543.06/92,200.48
  6. Step 6: Final answer
    x = 54,026.99

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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.