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Finding the Fourth Proportional to 65,114.10, 97,671.15 and 33,945.30

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Solution

The fourth proportional to 65,114.10, 97,671.15 and 33,945.30 is: 50,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,114.10 : 97,671.15 = 33,945.30 : x
  2. Step 2: Convert to fraction form
    65,114.10/97,671.15 = 33,945.30/x
  3. Step 3: Cross multiply
    65,114.10x = 97,671.15 × 33,945.30
  4. Step 4: Simplify right side
    65,114.10x = 3,315,476,488.10
  5. Step 5: Solve for x
    x = 3,315,476,488.10/65,114.10
  6. Step 6: Final answer
    x = 50,917.95

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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.