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Finding the Fourth Proportional to 61,754.96, 85,223.43 and 37,894.82

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Solution

The fourth proportional to 61,754.96, 85,223.43 and 37,894.82 is: 52,295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,754.96 : 85,223.43 = 37,894.82 : x
  2. Step 2: Convert to fraction form
    61,754.96/85,223.43 = 37,894.82/x
  3. Step 3: Cross multiply
    61,754.96x = 85,223.43 × 37,894.82
  4. Step 4: Simplify right side
    61,754.96x = 3,229,526,539.63
  5. Step 5: Solve for x
    x = 3,229,526,539.63/61,754.96
  6. Step 6: Final answer
    x = 52,295.82

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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.