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Finding the Fourth Proportional to 37,606.50, 56,413.56 and 13,920.30

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Solution

The fourth proportional to 37,606.50, 56,413.56 and 13,920.30 is: 20,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,606.50 : 56,413.56 = 13,920.30 : x
  2. Step 2: Convert to fraction form
    37,606.50/56,413.56 = 13,920.30/x
  3. Step 3: Cross multiply
    37,606.50x = 56,413.56 × 13,920.30
  4. Step 4: Simplify right side
    37,606.50x = 785,293,679.27
  5. Step 5: Solve for x
    x = 785,293,679.27/37,606.50
  6. Step 6: Final answer
    x = 20,881.86

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Why These Related Problems?

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