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Finding the Fourth Proportional to 39,289.74, 54,213.75 and 22,519.50

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Solution

The fourth proportional to 39,289.74, 54,213.75 and 22,519.50 is: 31,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,289.74 : 54,213.75 = 22,519.50 : x
  2. Step 2: Convert to fraction form
    39,289.74/54,213.75 = 22,519.50/x
  3. Step 3: Cross multiply
    39,289.74x = 54,213.75 × 22,519.50
  4. Step 4: Simplify right side
    39,289.74x = 1,220,866,543.13
  5. Step 5: Solve for x
    x = 1,220,866,543.13/39,289.74
  6. Step 6: Final answer
    x = 31,073.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.