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Finding the Fourth Proportional to 42,596.97, 58,784.21 and 23,477.43

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Solution

The fourth proportional to 42,596.97, 58,784.21 and 23,477.43 is: 32,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,596.97 : 58,784.21 = 23,477.43 : x
  2. Step 2: Convert to fraction form
    42,596.97/58,784.21 = 23,477.43/x
  3. Step 3: Cross multiply
    42,596.97x = 58,784.21 × 23,477.43
  4. Step 4: Simplify right side
    42,596.97x = 1,380,102,175.38
  5. Step 5: Solve for x
    x = 1,380,102,175.38/42,596.97
  6. Step 6: Final answer
    x = 32,399.07

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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.