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Finding the Fourth Proportional to 65,244.56, 97,842.82 and 22,539.11

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Solution

The fourth proportional to 65,244.56, 97,842.82 and 22,539.11 is: 33,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,244.56 : 97,842.82 = 22,539.11 : x
  2. Step 2: Convert to fraction form
    65,244.56/97,842.82 = 22,539.11/x
  3. Step 3: Cross multiply
    65,244.56x = 97,842.82 × 22,539.11
  4. Step 4: Simplify right side
    65,244.56x = 2,205,290,270.95
  5. Step 5: Solve for x
    x = 2,205,290,270.95/65,244.56
  6. Step 6: Final answer
    x = 33,800.37

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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.