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Finding the Fourth Proportional to 84,626.92, 126,946.65 and 28,466.81

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Solution

The fourth proportional to 84,626.92, 126,946.65 and 28,466.81 is: 42,702.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,626.92 : 126,946.65 = 28,466.81 : x
  2. Step 2: Convert to fraction form
    84,626.92/126,946.65 = 28,466.81/x
  3. Step 3: Cross multiply
    84,626.92x = 126,946.65 × 28,466.81
  4. Step 4: Simplify right side
    84,626.92x = 3,613,766,165.69
  5. Step 5: Solve for x
    x = 3,613,766,165.69/84,626.92
  6. Step 6: Final answer
    x = 42,702.32

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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.