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Finding the Fourth Proportional to 78,138.27, 107,830.71 and 42,328.44

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Solution

The fourth proportional to 78,138.27, 107,830.71 and 42,328.44 is: 58,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.27 : 107,830.71 = 42,328.44 : x
  2. Step 2: Convert to fraction form
    78,138.27/107,830.71 = 42,328.44/x
  3. Step 3: Cross multiply
    78,138.27x = 107,830.71 × 42,328.44
  4. Step 4: Simplify right side
    78,138.27x = 4,564,305,738.39
  5. Step 5: Solve for x
    x = 4,564,305,738.39/78,138.27
  6. Step 6: Final answer
    x = 58,413.19

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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.