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Finding the Fourth Proportional to 48,778.34, 73,188.64 and 17,211

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Solution

The fourth proportional to 48,778.34, 73,188.64 and 17,211 is: 25,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,778.34 : 73,188.64 = 17,211 : x
  2. Step 2: Convert to fraction form
    48,778.34/73,188.64 = 17,211/x
  3. Step 3: Cross multiply
    48,778.34x = 73,188.64 × 17,211
  4. Step 4: Simplify right side
    48,778.34x = 1,259,649,683.04
  5. Step 5: Solve for x
    x = 1,259,649,683.04/48,778.34
  6. Step 6: Final answer
    x = 25,823.96

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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.