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Finding the Fourth Proportional to 65,732.10, 98,608.47 and 23,049.25

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Solution

The fourth proportional to 65,732.10, 98,608.47 and 23,049.25 is: 34,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732.10 : 98,608.47 = 23,049.25 : x
  2. Step 2: Convert to fraction form
    65,732.10/98,608.47 = 23,049.25/x
  3. Step 3: Cross multiply
    65,732.10x = 98,608.47 × 23,049.25
  4. Step 4: Simplify right side
    65,732.10x = 2,272,851,277.15
  5. Step 5: Solve for x
    x = 2,272,851,277.15/65,732.10
  6. Step 6: Final answer
    x = 34,577.49

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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.