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Finding the Fourth Proportional to 75,603.98, 113,405.74 and 36,151.85

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Solution

The fourth proportional to 75,603.98, 113,405.74 and 36,151.85 is: 54,227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,603.98 : 113,405.74 = 36,151.85 : x
  2. Step 2: Convert to fraction form
    75,603.98/113,405.74 = 36,151.85/x
  3. Step 3: Cross multiply
    75,603.98x = 113,405.74 × 36,151.85
  4. Step 4: Simplify right side
    75,603.98x = 4,099,827,494.75
  5. Step 5: Solve for x
    x = 4,099,827,494.75/75,603.98
  6. Step 6: Final answer
    x = 54,227.67

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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.