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Finding the Fourth Proportional to 37,758.75, 52,094.09 and 23,413.41

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Solution

The fourth proportional to 37,758.75, 52,094.09 and 23,413.41 is: 32,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.75 : 52,094.09 = 23,413.41 : x
  2. Step 2: Convert to fraction form
    37,758.75/52,094.09 = 23,413.41/x
  3. Step 3: Cross multiply
    37,758.75x = 52,094.09 × 23,413.41
  4. Step 4: Simplify right side
    37,758.75x = 1,219,700,346.28
  5. Step 5: Solve for x
    x = 1,219,700,346.28/37,758.75
  6. Step 6: Final answer
    x = 32,302.46

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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.