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Finding the Fourth Proportional to 69,965.36, 96,475.97 and 47,264.96

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Solution

The fourth proportional to 69,965.36, 96,475.97 and 47,264.96 is: 65,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,965.36 : 96,475.97 = 47,264.96 : x
  2. Step 2: Convert to fraction form
    69,965.36/96,475.97 = 47,264.96/x
  3. Step 3: Cross multiply
    69,965.36x = 96,475.97 × 47,264.96
  4. Step 4: Simplify right side
    69,965.36x = 4,559,932,144.31
  5. Step 5: Solve for x
    x = 4,559,932,144.31/69,965.36
  6. Step 6: Final answer
    x = 65,174.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.