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Finding the Fourth Proportional to 85,306.70, 117,722.42 and 47,066.55

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Solution

The fourth proportional to 85,306.70, 117,722.42 and 47,066.55 is: 64,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,306.70 : 117,722.42 = 47,066.55 : x
  2. Step 2: Convert to fraction form
    85,306.70/117,722.42 = 47,066.55/x
  3. Step 3: Cross multiply
    85,306.70x = 117,722.42 × 47,066.55
  4. Step 4: Simplify right side
    85,306.70x = 5,540,788,579.02
  5. Step 5: Solve for x
    x = 5,540,788,579.02/85,306.70
  6. Step 6: Final answer
    x = 64,951.39

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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.