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Finding the Fourth Proportional to 61,142.12, 84,376.42 and 39,908.84

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Solution

The fourth proportional to 61,142.12, 84,376.42 and 39,908.84 is: 55,074.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.12 : 84,376.42 = 39,908.84 : x
  2. Step 2: Convert to fraction form
    61,142.12/84,376.42 = 39,908.84/x
  3. Step 3: Cross multiply
    61,142.12x = 84,376.42 × 39,908.84
  4. Step 4: Simplify right side
    61,142.12x = 3,367,365,045.55
  5. Step 5: Solve for x
    x = 3,367,365,045.55/61,142.12
  6. Step 6: Final answer
    x = 55,074.39

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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.