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Finding the Fourth Proportional to 65,023.56, 97,524.27 and 18,265.50

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Solution

The fourth proportional to 65,023.56, 97,524.27 and 18,265.50 is: 27,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,023.56 : 97,524.27 = 18,265.50 : x
  2. Step 2: Convert to fraction form
    65,023.56/97,524.27 = 18,265.50/x
  3. Step 3: Cross multiply
    65,023.56x = 97,524.27 × 18,265.50
  4. Step 4: Simplify right side
    65,023.56x = 1,781,329,553.69
  5. Step 5: Solve for x
    x = 1,781,329,553.69/65,023.56
  6. Step 6: Final answer
    x = 27,395.14

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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.