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Finding the Fourth Proportional to 57,083, 78,774.54 and 31,932.52

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Solution

The fourth proportional to 57,083, 78,774.54 and 31,932.52 is: 44,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083 : 78,774.54 = 31,932.52 : x
  2. Step 2: Convert to fraction form
    57,083/78,774.54 = 31,932.52/x
  3. Step 3: Cross multiply
    57,083x = 78,774.54 × 31,932.52
  4. Step 4: Simplify right side
    57,083x = 2,515,469,574.04
  5. Step 5: Solve for x
    x = 2,515,469,574.04/57,083
  6. Step 6: Final answer
    x = 44,066.88

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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.