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Finding the Fourth Proportional to 76,021.74, 114,021.74 and 26,100.90

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Solution

The fourth proportional to 76,021.74, 114,021.74 and 26,100.90 is: 39,147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,021.74 : 114,021.74 = 26,100.90 : x
  2. Step 2: Convert to fraction form
    76,021.74/114,021.74 = 26,100.90/x
  3. Step 3: Cross multiply
    76,021.74x = 114,021.74 × 26,100.90
  4. Step 4: Simplify right side
    76,021.74x = 2,976,069,528.71
  5. Step 5: Solve for x
    x = 2,976,069,528.71/76,021.74
  6. Step 6: Final answer
    x = 39,147.61

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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.