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Finding the Fourth Proportional to 57,030, 78,699.96 and 31,879.68

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Solution

The fourth proportional to 57,030, 78,699.96 and 31,879.68 is: 43,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,030 : 78,699.96 = 31,879.68 : x
  2. Step 2: Convert to fraction form
    57,030/78,699.96 = 31,879.68/x
  3. Step 3: Cross multiply
    57,030x = 78,699.96 × 31,879.68
  4. Step 4: Simplify right side
    57,030x = 2,508,929,540.81
  5. Step 5: Solve for x
    x = 2,508,929,540.81/57,030
  6. Step 6: Final answer
    x = 43,993.15

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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.