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Finding the Fourth Proportional to 85,213.69, 117,589.52 and 46,971.13

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Solution

The fourth proportional to 85,213.69, 117,589.52 and 46,971.13 is: 64,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,213.69 : 117,589.52 = 46,971.13 : x
  2. Step 2: Convert to fraction form
    85,213.69/117,589.52 = 46,971.13/x
  3. Step 3: Cross multiply
    85,213.69x = 117,589.52 × 46,971.13
  4. Step 4: Simplify right side
    85,213.69x = 5,523,311,807.75
  5. Step 5: Solve for x
    x = 5,523,311,807.75/85,213.69
  6. Step 6: Final answer
    x = 64,817.19

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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.