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Finding the Fourth Proportional to 61,396.26, 84,719.98 and 34,538.22

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Solution

The fourth proportional to 61,396.26, 84,719.98 and 34,538.22 is: 47,658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,396.26 : 84,719.98 = 34,538.22 : x
  2. Step 2: Convert to fraction form
    61,396.26/84,719.98 = 34,538.22/x
  3. Step 3: Cross multiply
    61,396.26x = 84,719.98 × 34,538.22
  4. Step 4: Simplify right side
    61,396.26x = 2,926,076,797.69
  5. Step 5: Solve for x
    x = 2,926,076,797.69/61,396.26
  6. Step 6: Final answer
    x = 47,658.87

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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.