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Finding the Fourth Proportional to 101,764.74, 152,524.50 and 37,671.67

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Solution

The fourth proportional to 101,764.74, 152,524.50 and 37,671.67 is: 56,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,764.74 : 152,524.50 = 37,671.67 : x
  2. Step 2: Convert to fraction form
    101,764.74/152,524.50 = 37,671.67/x
  3. Step 3: Cross multiply
    101,764.74x = 152,524.50 × 37,671.67
  4. Step 4: Simplify right side
    101,764.74x = 5,745,852,630.92
  5. Step 5: Solve for x
    x = 5,745,852,630.92/101,764.74
  6. Step 6: Final answer
    x = 56,462.12

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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.