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Finding the Fourth Proportional to 77,509.50, 116,265.33 and 22,105.50

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Solution

The fourth proportional to 77,509.50, 116,265.33 and 22,105.50 is: 33,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,509.50 : 116,265.33 = 22,105.50 : x
  2. Step 2: Convert to fraction form
    77,509.50/116,265.33 = 22,105.50/x
  3. Step 3: Cross multiply
    77,509.50x = 116,265.33 × 22,105.50
  4. Step 4: Simplify right side
    77,509.50x = 2,570,103,252.32
  5. Step 5: Solve for x
    x = 2,570,103,252.32/77,509.50
  6. Step 6: Final answer
    x = 33,158.56

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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.