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Finding the Fourth Proportional to 53,906.04, 80,824.14 and 22,307.56

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Solution

The fourth proportional to 53,906.04, 80,824.14 and 22,307.56 is: 33,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,906.04 : 80,824.14 = 22,307.56 : x
  2. Step 2: Convert to fraction form
    53,906.04/80,824.14 = 22,307.56/x
  3. Step 3: Cross multiply
    53,906.04x = 80,824.14 × 22,307.56
  4. Step 4: Simplify right side
    53,906.04x = 1,802,989,352.50
  5. Step 5: Solve for x
    x = 1,802,989,352.50/53,906.04
  6. Step 6: Final answer
    x = 33,446.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.