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Finding the Fourth Proportional to 57,120.32, 78,825.44 and 31,970

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Solution

The fourth proportional to 57,120.32, 78,825.44 and 31,970 is: 44,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.32 : 78,825.44 = 31,970 : x
  2. Step 2: Convert to fraction form
    57,120.32/78,825.44 = 31,970/x
  3. Step 3: Cross multiply
    57,120.32x = 78,825.44 × 31,970
  4. Step 4: Simplify right side
    57,120.32x = 2,520,049,316.80
  5. Step 5: Solve for x
    x = 2,520,049,316.80/57,120.32
  6. Step 6: Final answer
    x = 44,118.26

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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.