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Finding the Fourth Proportional to 64,192.25, 88,583.64 and 35,512.97

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Solution

The fourth proportional to 64,192.25, 88,583.64 and 35,512.97 is: 49,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,192.25 : 88,583.64 = 35,512.97 : x
  2. Step 2: Convert to fraction form
    64,192.25/88,583.64 = 35,512.97/x
  3. Step 3: Cross multiply
    64,192.25x = 88,583.64 × 35,512.97
  4. Step 4: Simplify right side
    64,192.25x = 3,145,868,149.81
  5. Step 5: Solve for x
    x = 3,145,868,149.81/64,192.25
  6. Step 6: Final answer
    x = 49,006.98

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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.