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Finding the Fourth Proportional to 42,176, 58,197.84 and 23,310.56

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Solution

The fourth proportional to 42,176, 58,197.84 and 23,310.56 is: 32,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176 : 58,197.84 = 23,310.56 : x
  2. Step 2: Convert to fraction form
    42,176/58,197.84 = 23,310.56/x
  3. Step 3: Cross multiply
    42,176x = 58,197.84 × 23,310.56
  4. Step 4: Simplify right side
    42,176x = 1,356,624,241.19
  5. Step 5: Solve for x
    x = 1,356,624,241.19/42,176
  6. Step 6: Final answer
    x = 32,165.79

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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.