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Finding the Fourth Proportional to 85,431.14, 117,894.50 and 47,193.32

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Solution

The fourth proportional to 85,431.14, 117,894.50 and 47,193.32 is: 65,126.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,431.14 : 117,894.50 = 47,193.32 : x
  2. Step 2: Convert to fraction form
    85,431.14/117,894.50 = 47,193.32/x
  3. Step 3: Cross multiply
    85,431.14x = 117,894.50 × 47,193.32
  4. Step 4: Simplify right side
    85,431.14x = 5,563,832,157.28
  5. Step 5: Solve for x
    x = 5,563,832,157.28/85,431.14
  6. Step 6: Final answer
    x = 65,126.52

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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.