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Finding the Fourth Proportional to 57,019.50, 78,689.34 and 31,869

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Solution

The fourth proportional to 57,019.50, 78,689.34 and 31,869 is: 43,980.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,019.50 : 78,689.34 = 31,869 : x
  2. Step 2: Convert to fraction form
    57,019.50/78,689.34 = 31,869/x
  3. Step 3: Cross multiply
    57,019.50x = 78,689.34 × 31,869
  4. Step 4: Simplify right side
    57,019.50x = 2,507,750,576.46
  5. Step 5: Solve for x
    x = 2,507,750,576.46/57,019.50
  6. Step 6: Final answer
    x = 43,980.58

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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.