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Finding the Fourth Proportional to 64,406.25, 96,626.70 and 26,946.54

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Solution

The fourth proportional to 64,406.25, 96,626.70 and 26,946.54 is: 40,427.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,406.25 : 96,626.70 = 26,946.54 : x
  2. Step 2: Convert to fraction form
    64,406.25/96,626.70 = 26,946.54/x
  3. Step 3: Cross multiply
    64,406.25x = 96,626.70 × 26,946.54
  4. Step 4: Simplify right side
    64,406.25x = 2,603,755,236.62
  5. Step 5: Solve for x
    x = 2,603,755,236.62/64,406.25
  6. Step 6: Final answer
    x = 40,427.06

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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.