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Finding the Fourth Proportional to 57,878, 86,785.72 and 31,238.32

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Solution

The fourth proportional to 57,878, 86,785.72 and 31,238.32 is: 46,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,878 : 86,785.72 = 31,238.32 : x
  2. Step 2: Convert to fraction form
    57,878/86,785.72 = 31,238.32/x
  3. Step 3: Cross multiply
    57,878x = 86,785.72 × 31,238.32
  4. Step 4: Simplify right side
    57,878x = 2,711,040,092.79
  5. Step 5: Solve for x
    x = 2,711,040,092.79/57,878
  6. Step 6: Final answer
    x = 46,840.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.