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Finding the Fourth Proportional to 57,078.36, 78,763.86 and 31,923

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Solution

The fourth proportional to 57,078.36, 78,763.86 and 31,923 is: 44,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078.36 : 78,763.86 = 31,923 : x
  2. Step 2: Convert to fraction form
    57,078.36/78,763.86 = 31,923/x
  3. Step 3: Cross multiply
    57,078.36x = 78,763.86 × 31,923
  4. Step 4: Simplify right side
    57,078.36x = 2,514,378,702.78
  5. Step 5: Solve for x
    x = 2,514,378,702.78/57,078.36
  6. Step 6: Final answer
    x = 44,051.35

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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.