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Finding the Fourth Proportional to 85,457.50, 117,933.72 and 47,219.51

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Solution

The fourth proportional to 85,457.50, 117,933.72 and 47,219.51 is: 65,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,457.50 : 117,933.72 = 47,219.51 : x
  2. Step 2: Convert to fraction form
    85,457.50/117,933.72 = 47,219.51/x
  3. Step 3: Cross multiply
    85,457.50x = 117,933.72 × 47,219.51
  4. Step 4: Simplify right side
    85,457.50x = 5,568,772,470.88
  5. Step 5: Solve for x
    x = 5,568,772,470.88/85,457.50
  6. Step 6: Final answer
    x = 65,164.23

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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.