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Finding the Fourth Proportional to 42,137.64, 58,149.44 and 23,017.18

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Solution

The fourth proportional to 42,137.64, 58,149.44 and 23,017.18 is: 31,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,137.64 : 58,149.44 = 23,017.18 : x
  2. Step 2: Convert to fraction form
    42,137.64/58,149.44 = 23,017.18/x
  3. Step 3: Cross multiply
    42,137.64x = 58,149.44 × 23,017.18
  4. Step 4: Simplify right side
    42,137.64x = 1,338,436,127.38
  5. Step 5: Solve for x
    x = 1,338,436,127.38/42,137.64
  6. Step 6: Final answer
    x = 31,763.43

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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.