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Finding the Fourth Proportional to 85,213.71, 117,589.63 and 46,971.28

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Solution

The fourth proportional to 85,213.71, 117,589.63 and 46,971.28 is: 64,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,213.71 : 117,589.63 = 46,971.28 : x
  2. Step 2: Convert to fraction form
    85,213.71/117,589.63 = 46,971.28/x
  3. Step 3: Cross multiply
    85,213.71x = 117,589.63 × 46,971.28
  4. Step 4: Simplify right side
    85,213.71x = 5,523,335,123.43
  5. Step 5: Solve for x
    x = 5,523,335,123.43/85,213.71
  6. Step 6: Final answer
    x = 64,817.45

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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.