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Finding the Fourth Proportional to 69,850, 96,393.18 and 38,019.16

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Solution

The fourth proportional to 69,850, 96,393.18 and 38,019.16 is: 52,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,850 : 96,393.18 = 38,019.16 : x
  2. Step 2: Convert to fraction form
    69,850/96,393.18 = 38,019.16/x
  3. Step 3: Cross multiply
    69,850x = 96,393.18 × 38,019.16
  4. Step 4: Simplify right side
    69,850x = 3,664,787,733.33
  5. Step 5: Solve for x
    x = 3,664,787,733.33/69,850
  6. Step 6: Final answer
    x = 52,466.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.