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Finding the Fourth Proportional to 53,014.68, 73,129.72 and 31,781.60

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Solution

The fourth proportional to 53,014.68, 73,129.72 and 31,781.60 is: 43,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,014.68 : 73,129.72 = 31,781.60 : x
  2. Step 2: Convert to fraction form
    53,014.68/73,129.72 = 31,781.60/x
  3. Step 3: Cross multiply
    53,014.68x = 73,129.72 × 31,781.60
  4. Step 4: Simplify right side
    53,014.68x = 2,324,179,509.15
  5. Step 5: Solve for x
    x = 2,324,179,509.15/53,014.68
  6. Step 6: Final answer
    x = 43,840.30

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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.