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Finding the Fourth Proportional to 69,014.54, 103,543.68 and 24,640.34

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Solution

The fourth proportional to 69,014.54, 103,543.68 and 24,640.34 is: 36,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,014.54 : 103,543.68 = 24,640.34 : x
  2. Step 2: Convert to fraction form
    69,014.54/103,543.68 = 24,640.34/x
  3. Step 3: Cross multiply
    69,014.54x = 103,543.68 × 24,640.34
  4. Step 4: Simplify right side
    69,014.54x = 2,551,351,480.05
  5. Step 5: Solve for x
    x = 2,551,351,480.05/69,014.54
  6. Step 6: Final answer
    x = 36,968.32

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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.