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Finding the Fourth Proportional to 85,294.25, 117,705.72 and 47,056.17

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Solution

The fourth proportional to 85,294.25, 117,705.72 and 47,056.17 is: 64,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.25 : 117,705.72 = 47,056.17 : x
  2. Step 2: Convert to fraction form
    85,294.25/117,705.72 = 47,056.17/x
  3. Step 3: Cross multiply
    85,294.25x = 117,705.72 × 47,056.17
  4. Step 4: Simplify right side
    85,294.25x = 5,538,780,135.01
  5. Step 5: Solve for x
    x = 5,538,780,135.01/85,294.25
  6. Step 6: Final answer
    x = 64,937.33

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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.