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Finding the Fourth Proportional to 65,338.82, 97,999 and 20,959.81

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Solution

The fourth proportional to 65,338.82, 97,999 and 20,959.81 is: 31,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.82 : 97,999 = 20,959.81 : x
  2. Step 2: Convert to fraction form
    65,338.82/97,999 = 20,959.81/x
  3. Step 3: Cross multiply
    65,338.82x = 97,999 × 20,959.81
  4. Step 4: Simplify right side
    65,338.82x = 2,054,040,420.19
  5. Step 5: Solve for x
    x = 2,054,040,420.19/65,338.82
  6. Step 6: Final answer
    x = 31,436.75

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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.