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Finding the Fourth Proportional to 65,327.88, 97,696.62 and 50,333.16

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Solution

The fourth proportional to 65,327.88, 97,696.62 and 50,333.16 is: 75,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,327.88 : 97,696.62 = 50,333.16 : x
  2. Step 2: Convert to fraction form
    65,327.88/97,696.62 = 50,333.16/x
  3. Step 3: Cross multiply
    65,327.88x = 97,696.62 × 50,333.16
  4. Step 4: Simplify right side
    65,327.88x = 4,917,379,605.92
  5. Step 5: Solve for x
    x = 4,917,379,605.92/65,327.88
  6. Step 6: Final answer
    x = 75,272.30

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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.