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Finding the Fourth Proportional to 106,812, 160,220.16 and 32,940

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Solution

The fourth proportional to 106,812, 160,220.16 and 32,940 is: 49,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,812 : 160,220.16 = 32,940 : x
  2. Step 2: Convert to fraction form
    106,812/160,220.16 = 32,940/x
  3. Step 3: Cross multiply
    106,812x = 160,220.16 × 32,940
  4. Step 4: Simplify right side
    106,812x = 5,277,652,070.40
  5. Step 5: Solve for x
    x = 5,277,652,070.40/106,812
  6. Step 6: Final answer
    x = 49,410.67

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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.