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Finding the Fourth Proportional to 57,142.48, 78,852.67 and 31,647.01

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Solution

The fourth proportional to 57,142.48, 78,852.67 and 31,647.01 is: 43,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,142.48 : 78,852.67 = 31,647.01 : x
  2. Step 2: Convert to fraction form
    57,142.48/78,852.67 = 31,647.01/x
  3. Step 3: Cross multiply
    57,142.48x = 78,852.67 × 31,647.01
  4. Step 4: Simplify right side
    57,142.48x = 2,495,451,236.02
  5. Step 5: Solve for x
    x = 2,495,451,236.02/57,142.48
  6. Step 6: Final answer
    x = 43,670.68

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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.