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Finding the Fourth Proportional to 69,983.34, 96,578.01 and 38,152.20

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Solution

The fourth proportional to 69,983.34, 96,578.01 and 38,152.20 is: 52,650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,983.34 : 96,578.01 = 38,152.20 : x
  2. Step 2: Convert to fraction form
    69,983.34/96,578.01 = 38,152.20/x
  3. Step 3: Cross multiply
    69,983.34x = 96,578.01 × 38,152.20
  4. Step 4: Simplify right side
    69,983.34x = 3,684,663,553.12
  5. Step 5: Solve for x
    x = 3,684,663,553.12/69,983.34
  6. Step 6: Final answer
    x = 52,650.58

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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.