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Finding the Fourth Proportional to 109,792.82, 164,674.65 and 30,913.85

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Solution

The fourth proportional to 109,792.82, 164,674.65 and 30,913.85 is: 46,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,792.82 : 164,674.65 = 30,913.85 : x
  2. Step 2: Convert to fraction form
    109,792.82/164,674.65 = 30,913.85/x
  3. Step 3: Cross multiply
    109,792.82x = 164,674.65 × 30,913.85
  4. Step 4: Simplify right side
    109,792.82x = 5,090,727,428.90
  5. Step 5: Solve for x
    x = 5,090,727,428.90/109,792.82
  6. Step 6: Final answer
    x = 46,366.67

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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.