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Finding the Fourth Proportional to 65,122.50, 97,696.44 and 27,682.14

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Solution

The fourth proportional to 65,122.50, 97,696.44 and 27,682.14 is: 41,528.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,122.50 : 97,696.44 = 27,682.14 : x
  2. Step 2: Convert to fraction form
    65,122.50/97,696.44 = 27,682.14/x
  3. Step 3: Cross multiply
    65,122.50x = 97,696.44 × 27,682.14
  4. Step 4: Simplify right side
    65,122.50x = 2,704,446,529.58
  5. Step 5: Solve for x
    x = 2,704,446,529.58/65,122.50
  6. Step 6: Final answer
    x = 41,528.60

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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.