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Finding the Fourth Proportional to 106,000.08, 159,000.12 and 46,896

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Solution

The fourth proportional to 106,000.08, 159,000.12 and 46,896 is: 70,344

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,000.08 : 159,000.12 = 46,896 : x
  2. Step 2: Convert to fraction form
    106,000.08/159,000.12 = 46,896/x
  3. Step 3: Cross multiply
    106,000.08x = 159,000.12 × 46,896
  4. Step 4: Simplify right side
    106,000.08x = 7,456,469,627.52
  5. Step 5: Solve for x
    x = 7,456,469,627.52/106,000.08
  6. Step 6: Final answer
    x = 70,344

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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.