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Finding the Fourth Proportional to 75,906.90, 113,768.01 and 53,726.67

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Solution

The fourth proportional to 75,906.90, 113,768.01 and 53,726.67 is: 80,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,906.90 : 113,768.01 = 53,726.67 : x
  2. Step 2: Convert to fraction form
    75,906.90/113,768.01 = 53,726.67/x
  3. Step 3: Cross multiply
    75,906.90x = 113,768.01 × 53,726.67
  4. Step 4: Simplify right side
    75,906.90x = 6,112,376,329.83
  5. Step 5: Solve for x
    x = 6,112,376,329.83/75,906.90
  6. Step 6: Final answer
    x = 80,524.65

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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.