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Finding the Fourth Proportional to 101,765.74, 152,526 and 37,672.67

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Solution

The fourth proportional to 101,765.74, 152,526 and 37,672.67 is: 56,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,765.74 : 152,526 = 37,672.67 : x
  2. Step 2: Convert to fraction form
    101,765.74/152,526 = 37,672.67/x
  3. Step 3: Cross multiply
    101,765.74x = 152,526 × 37,672.67
  4. Step 4: Simplify right side
    101,765.74x = 5,746,061,664.42
  5. Step 5: Solve for x
    x = 5,746,061,664.42/101,765.74
  6. Step 6: Final answer
    x = 56,463.62

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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.