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Finding the Fourth Proportional to 41,756.38, 57,624 and 24,989.38

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Solution

The fourth proportional to 41,756.38, 57,624 and 24,989.38 is: 34,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,756.38 : 57,624 = 24,989.38 : x
  2. Step 2: Convert to fraction form
    41,756.38/57,624 = 24,989.38/x
  3. Step 3: Cross multiply
    41,756.38x = 57,624 × 24,989.38
  4. Step 4: Simplify right side
    41,756.38x = 1,439,988,033.12
  5. Step 5: Solve for x
    x = 1,439,988,033.12/41,756.38
  6. Step 6: Final answer
    x = 34,485.46

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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.