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Finding the Fourth Proportional to 37,293.36, 55,949.76 and 13,920

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Solution

The fourth proportional to 37,293.36, 55,949.76 and 13,920 is: 20,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,293.36 : 55,949.76 = 13,920 : x
  2. Step 2: Convert to fraction form
    37,293.36/55,949.76 = 13,920/x
  3. Step 3: Cross multiply
    37,293.36x = 55,949.76 × 13,920
  4. Step 4: Simplify right side
    37,293.36x = 778,820,659.20
  5. Step 5: Solve for x
    x = 778,820,659.20/37,293.36
  6. Step 6: Final answer
    x = 20,883.63

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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.