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Finding the Fourth Proportional to 77,919.26, 116,898.32 and 22,515.26

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Solution

The fourth proportional to 77,919.26, 116,898.32 and 22,515.26 is: 33,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,919.26 : 116,898.32 = 22,515.26 : x
  2. Step 2: Convert to fraction form
    77,919.26/116,898.32 = 22,515.26/x
  3. Step 3: Cross multiply
    77,919.26x = 116,898.32 × 22,515.26
  4. Step 4: Simplify right side
    77,919.26x = 2,631,996,068.36
  5. Step 5: Solve for x
    x = 2,631,996,068.36/77,919.26
  6. Step 6: Final answer
    x = 33,778.50

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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.