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Finding the Fourth Proportional to 65,027.80, 97,541.70 and 41,699.80

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Solution

The fourth proportional to 65,027.80, 97,541.70 and 41,699.80 is: 62,549.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,027.80 : 97,541.70 = 41,699.80 : x
  2. Step 2: Convert to fraction form
    65,027.80/97,541.70 = 41,699.80/x
  3. Step 3: Cross multiply
    65,027.80x = 97,541.70 × 41,699.80
  4. Step 4: Simplify right side
    65,027.80x = 4,067,469,381.66
  5. Step 5: Solve for x
    x = 4,067,469,381.66/65,027.80
  6. Step 6: Final answer
    x = 62,549.70

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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.