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Finding the Fourth Proportional to 109,765.68, 164,658.60 and 50,617.68

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Solution

The fourth proportional to 109,765.68, 164,658.60 and 50,617.68 is: 75,931.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,765.68 : 164,658.60 = 50,617.68 : x
  2. Step 2: Convert to fraction form
    109,765.68/164,658.60 = 50,617.68/x
  3. Step 3: Cross multiply
    109,765.68x = 164,658.60 × 50,617.68
  4. Step 4: Simplify right side
    109,765.68x = 8,334,636,324.05
  5. Step 5: Solve for x
    x = 8,334,636,324.05/109,765.68
  6. Step 6: Final answer
    x = 75,931.17

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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.