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Finding the Fourth Proportional to 42,522.80, 58,762.38 and 31,893.98

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Solution

The fourth proportional to 42,522.80, 58,762.38 and 31,893.98 is: 44,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,522.80 : 58,762.38 = 31,893.98 : x
  2. Step 2: Convert to fraction form
    42,522.80/58,762.38 = 31,893.98/x
  3. Step 3: Cross multiply
    42,522.80x = 58,762.38 × 31,893.98
  4. Step 4: Simplify right side
    42,522.80x = 1,874,166,172.47
  5. Step 5: Solve for x
    x = 1,874,166,172.47/42,522.80
  6. Step 6: Final answer
    x = 44,074.38

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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.