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Finding the Fourth Proportional to 30,579.72, 42,201.72 and 23,012.43

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Solution

The fourth proportional to 30,579.72, 42,201.72 and 23,012.43 is: 31,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,579.72 : 42,201.72 = 23,012.43 : x
  2. Step 2: Convert to fraction form
    30,579.72/42,201.72 = 23,012.43/x
  3. Step 3: Cross multiply
    30,579.72x = 42,201.72 × 23,012.43
  4. Step 4: Simplify right side
    30,579.72x = 971,164,127.38
  5. Step 5: Solve for x
    x = 971,164,127.38/30,579.72
  6. Step 6: Final answer
    x = 31,758.44

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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.