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Finding the Fourth Proportional to 85,093, 117,432.12 and 47,369.68

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Solution

The fourth proportional to 85,093, 117,432.12 and 47,369.68 is: 65,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,093 : 117,432.12 = 47,369.68 : x
  2. Step 2: Convert to fraction form
    85,093/117,432.12 = 47,369.68/x
  3. Step 3: Cross multiply
    85,093x = 117,432.12 × 47,369.68
  4. Step 4: Simplify right side
    85,093x = 5,562,721,946.12
  5. Step 5: Solve for x
    x = 5,562,721,946.12/85,093
  6. Step 6: Final answer
    x = 65,372.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.