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Finding the Fourth Proportional to 42,658.94, 63,857.16 and 27,835.94

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Solution

The fourth proportional to 42,658.94, 63,857.16 and 27,835.94 is: 41,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658.94 : 63,857.16 = 27,835.94 : x
  2. Step 2: Convert to fraction form
    42,658.94/63,857.16 = 27,835.94/x
  3. Step 3: Cross multiply
    42,658.94x = 63,857.16 × 27,835.94
  4. Step 4: Simplify right side
    42,658.94x = 1,777,523,755.04
  5. Step 5: Solve for x
    x = 1,777,523,755.04/42,658.94
  6. Step 6: Final answer
    x = 41,668.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.