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Finding the Fourth Proportional to 61,286.94, 84,584.22 and 34,430.97

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Solution

The fourth proportional to 61,286.94, 84,584.22 and 34,430.97 is: 47,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,286.94 : 84,584.22 = 34,430.97 : x
  2. Step 2: Convert to fraction form
    61,286.94/84,584.22 = 34,430.97/x
  3. Step 3: Cross multiply
    61,286.94x = 84,584.22 × 34,430.97
  4. Step 4: Simplify right side
    61,286.94x = 2,912,316,741.29
  5. Step 5: Solve for x
    x = 2,912,316,741.29/61,286.94
  6. Step 6: Final answer
    x = 47,519.37

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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.