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Finding the Fourth Proportional to 65,049.93, 97,581.39 and 17,665.77

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Solution

The fourth proportional to 65,049.93, 97,581.39 and 17,665.77 is: 26,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.93 : 97,581.39 = 17,665.77 : x
  2. Step 2: Convert to fraction form
    65,049.93/97,581.39 = 17,665.77/x
  3. Step 3: Cross multiply
    65,049.93x = 97,581.39 × 17,665.77
  4. Step 4: Simplify right side
    65,049.93x = 1,723,850,392.02
  5. Step 5: Solve for x
    x = 1,723,850,392.02/65,049.93
  6. Step 6: Final answer
    x = 26,500.42

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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.