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Finding the Fourth Proportional to 57,105.46, 78,803.06 and 31,610.32

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Solution

The fourth proportional to 57,105.46, 78,803.06 and 31,610.32 is: 43,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,105.46 : 78,803.06 = 31,610.32 : x
  2. Step 2: Convert to fraction form
    57,105.46/78,803.06 = 31,610.32/x
  3. Step 3: Cross multiply
    57,105.46x = 78,803.06 × 31,610.32
  4. Step 4: Simplify right side
    57,105.46x = 2,490,989,943.58
  5. Step 5: Solve for x
    x = 2,490,989,943.58/57,105.46
  6. Step 6: Final answer
    x = 43,620.87

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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.