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Finding the Fourth Proportional to 65,285.96, 97,935 and 23,161.90

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Solution

The fourth proportional to 65,285.96, 97,935 and 23,161.90 is: 34,745.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,285.96 : 97,935 = 23,161.90 : x
  2. Step 2: Convert to fraction form
    65,285.96/97,935 = 23,161.90/x
  3. Step 3: Cross multiply
    65,285.96x = 97,935 × 23,161.90
  4. Step 4: Simplify right side
    65,285.96x = 2,268,360,676.50
  5. Step 5: Solve for x
    x = 2,268,360,676.50/65,285.96
  6. Step 6: Final answer
    x = 34,745.00

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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.