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Finding the Fourth Proportional to 92,226.40, 138,320.70 and 25,649.80

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Solution

The fourth proportional to 92,226.40, 138,320.70 and 25,649.80 is: 38,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,226.40 : 138,320.70 = 25,649.80 : x
  2. Step 2: Convert to fraction form
    92,226.40/138,320.70 = 25,649.80/x
  3. Step 3: Cross multiply
    92,226.40x = 138,320.70 × 25,649.80
  4. Step 4: Simplify right side
    92,226.40x = 3,547,898,290.86
  5. Step 5: Solve for x
    x = 3,547,898,290.86/92,226.40
  6. Step 6: Final answer
    x = 38,469.44

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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.