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Finding the Fourth Proportional to 64,772.25, 97,116.63 and 27,322.31

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Solution

The fourth proportional to 64,772.25, 97,116.63 and 27,322.31 is: 40,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,772.25 : 97,116.63 = 27,322.31 : x
  2. Step 2: Convert to fraction form
    64,772.25/97,116.63 = 27,322.31/x
  3. Step 3: Cross multiply
    64,772.25x = 97,116.63 × 27,322.31
  4. Step 4: Simplify right side
    64,772.25x = 2,653,450,185.43
  5. Step 5: Solve for x
    x = 2,653,450,185.43/64,772.25
  6. Step 6: Final answer
    x = 40,965.85

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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.