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Finding the Fourth Proportional to 57,120.48, 78,823.41 and 31,278.36

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Solution

The fourth proportional to 57,120.48, 78,823.41 and 31,278.36 is: 43,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.48 : 78,823.41 = 31,278.36 : x
  2. Step 2: Convert to fraction form
    57,120.48/78,823.41 = 31,278.36/x
  3. Step 3: Cross multiply
    57,120.48x = 78,823.41 × 31,278.36
  4. Step 4: Simplify right side
    57,120.48x = 2,465,466,994.41
  5. Step 5: Solve for x
    x = 2,465,466,994.41/57,120.48
  6. Step 6: Final answer
    x = 43,162.57

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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.