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Finding the Fourth Proportional to 69,857.49, 96,403.32 and 38,026.62

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Solution

The fourth proportional to 69,857.49, 96,403.32 and 38,026.62 is: 52,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,857.49 : 96,403.32 = 38,026.62 : x
  2. Step 2: Convert to fraction form
    69,857.49/96,403.32 = 38,026.62/x
  3. Step 3: Cross multiply
    69,857.49x = 96,403.32 × 38,026.62
  4. Step 4: Simplify right side
    69,857.49x = 3,665,892,416.38
  5. Step 5: Solve for x
    x = 3,665,892,416.38/69,857.49
  6. Step 6: Final answer
    x = 52,476.73

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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.