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Finding the Fourth Proportional to 65,161.77, 97,755.03 and 22,455.87

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Solution

The fourth proportional to 65,161.77, 97,755.03 and 22,455.87 is: 33,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161.77 : 97,755.03 = 22,455.87 : x
  2. Step 2: Convert to fraction form
    65,161.77/97,755.03 = 22,455.87/x
  3. Step 3: Cross multiply
    65,161.77x = 97,755.03 × 22,455.87
  4. Step 4: Simplify right side
    65,161.77x = 2,195,174,245.53
  5. Step 5: Solve for x
    x = 2,195,174,245.53/65,161.77
  6. Step 6: Final answer
    x = 33,688.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.