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Finding the Fourth Proportional to 66,196.16, 91,348.44 and 37,896.38

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Solution

The fourth proportional to 66,196.16, 91,348.44 and 37,896.38 is: 52,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,196.16 : 91,348.44 = 37,896.38 : x
  2. Step 2: Convert to fraction form
    66,196.16/91,348.44 = 37,896.38/x
  3. Step 3: Cross multiply
    66,196.16x = 91,348.44 × 37,896.38
  4. Step 4: Simplify right side
    66,196.16x = 3,461,774,737.91
  5. Step 5: Solve for x
    x = 3,461,774,737.91/66,196.16
  6. Step 6: Final answer
    x = 52,295.71

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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.