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Finding the Fourth Proportional to 109,708.92, 164,622.92 and 46,564.56

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Solution

The fourth proportional to 109,708.92, 164,622.92 and 46,564.56 is: 69,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,708.92 : 164,622.92 = 46,564.56 : x
  2. Step 2: Convert to fraction form
    109,708.92/164,622.92 = 46,564.56/x
  3. Step 3: Cross multiply
    109,708.92x = 164,622.92 × 46,564.56
  4. Step 4: Simplify right side
    109,708.92x = 7,665,593,835.72
  5. Step 5: Solve for x
    x = 7,665,593,835.72/109,708.92
  6. Step 6: Final answer
    x = 69,872.11

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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.