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Finding the Fourth Proportional to 36,778.74, 55,159 and 10,483.72

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Solution

The fourth proportional to 36,778.74, 55,159 and 10,483.72 is: 15,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,778.74 : 55,159 = 10,483.72 : x
  2. Step 2: Convert to fraction form
    36,778.74/55,159 = 10,483.72/x
  3. Step 3: Cross multiply
    36,778.74x = 55,159 × 10,483.72
  4. Step 4: Simplify right side
    36,778.74x = 578,271,511.48
  5. Step 5: Solve for x
    x = 578,271,511.48/36,778.74
  6. Step 6: Final answer
    x = 15,722.98

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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.