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Finding the Fourth Proportional to 102,776.76, 154,132.34 and 32,639.67

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Solution

The fourth proportional to 102,776.76, 154,132.34 and 32,639.67 is: 48,949.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,776.76 : 154,132.34 = 32,639.67 : x
  2. Step 2: Convert to fraction form
    102,776.76/154,132.34 = 32,639.67/x
  3. Step 3: Cross multiply
    102,776.76x = 154,132.34 × 32,639.67
  4. Step 4: Simplify right side
    102,776.76x = 5,030,828,550.73
  5. Step 5: Solve for x
    x = 5,030,828,550.73/102,776.76
  6. Step 6: Final answer
    x = 48,949.09

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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.