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Finding the Fourth Proportional to 100,582.75, 150,874.14 and 26,710.75

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Solution

The fourth proportional to 100,582.75, 150,874.14 and 26,710.75 is: 40,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582.75 : 150,874.14 = 26,710.75 : x
  2. Step 2: Convert to fraction form
    100,582.75/150,874.14 = 26,710.75/x
  3. Step 3: Cross multiply
    100,582.75x = 150,874.14 × 26,710.75
  4. Step 4: Simplify right side
    100,582.75x = 4,029,961,435.01
  5. Step 5: Solve for x
    x = 4,029,961,435.01/100,582.75
  6. Step 6: Final answer
    x = 40,066.13

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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.