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Finding the Fourth Proportional to 69,833.46, 96,370.11 and 38,002.30

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Solution

The fourth proportional to 69,833.46, 96,370.11 and 38,002.30 is: 52,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,833.46 : 96,370.11 = 38,002.30 : x
  2. Step 2: Convert to fraction form
    69,833.46/96,370.11 = 38,002.30/x
  3. Step 3: Cross multiply
    69,833.46x = 96,370.11 × 38,002.30
  4. Step 4: Simplify right side
    69,833.46x = 3,662,285,831.25
  5. Step 5: Solve for x
    x = 3,662,285,831.25/69,833.46
  6. Step 6: Final answer
    x = 52,443.14

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