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Finding the Fourth Proportional to 69,977.34, 96,568.14 and 38,145.57

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Solution

The fourth proportional to 69,977.34, 96,568.14 and 38,145.57 is: 52,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977.34 : 96,568.14 = 38,145.57 : x
  2. Step 2: Convert to fraction form
    69,977.34/96,568.14 = 38,145.57/x
  3. Step 3: Cross multiply
    69,977.34x = 96,568.14 × 38,145.57
  4. Step 4: Simplify right side
    69,977.34x = 3,683,646,744.14
  5. Step 5: Solve for x
    x = 3,683,646,744.14/69,977.34
  6. Step 6: Final answer
    x = 52,640.57

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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.