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Finding the Fourth Proportional to 65,135.36, 97,551.12 and 47,561.60

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Solution

The fourth proportional to 65,135.36, 97,551.12 and 47,561.60 is: 71,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.36 : 97,551.12 = 47,561.60 : x
  2. Step 2: Convert to fraction form
    65,135.36/97,551.12 = 47,561.60/x
  3. Step 3: Cross multiply
    65,135.36x = 97,551.12 × 47,561.60
  4. Step 4: Simplify right side
    65,135.36x = 4,639,687,348.99
  5. Step 5: Solve for x
    x = 4,639,687,348.99/65,135.36
  6. Step 6: Final answer
    x = 71,231.47

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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.