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Finding the Fourth Proportional to 71,466.30, 107,164.89 and 41,893.74

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Solution

The fourth proportional to 71,466.30, 107,164.89 and 41,893.74 is: 62,820.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,466.30 : 107,164.89 = 41,893.74 : x
  2. Step 2: Convert to fraction form
    71,466.30/107,164.89 = 41,893.74/x
  3. Step 3: Cross multiply
    71,466.30x = 107,164.89 × 41,893.74
  4. Step 4: Simplify right side
    71,466.30x = 4,489,538,038.79
  5. Step 5: Solve for x
    x = 4,489,538,038.79/71,466.30
  6. Step 6: Final answer
    x = 62,820.35

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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.