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Finding the Fourth Proportional to 65,019.44, 97,530.98 and 31,766.11

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Solution

The fourth proportional to 65,019.44, 97,530.98 and 31,766.11 is: 47,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,019.44 : 97,530.98 = 31,766.11 : x
  2. Step 2: Convert to fraction form
    65,019.44/97,530.98 = 31,766.11/x
  3. Step 3: Cross multiply
    65,019.44x = 97,530.98 × 31,766.11
  4. Step 4: Simplify right side
    65,019.44x = 3,098,179,839.09
  5. Step 5: Solve for x
    x = 3,098,179,839.09/65,019.44
  6. Step 6: Final answer
    x = 47,650.05

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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.