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Finding the Fourth Proportional to 77,618.70, 116,473.22 and 32,636.80

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Solution

The fourth proportional to 77,618.70, 116,473.22 and 32,636.80 is: 48,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,618.70 : 116,473.22 = 32,636.80 : x
  2. Step 2: Convert to fraction form
    77,618.70/116,473.22 = 32,636.80/x
  3. Step 3: Cross multiply
    77,618.70x = 116,473.22 × 32,636.80
  4. Step 4: Simplify right side
    77,618.70x = 3,801,312,604.13
  5. Step 5: Solve for x
    x = 3,801,312,604.13/77,618.70
  6. Step 6: Final answer
    x = 48,974.19

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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.