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Finding the Fourth Proportional to 52,074.36, 71,869.77 and 31,927.68

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Solution

The fourth proportional to 52,074.36, 71,869.77 and 31,927.68 is: 44,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,074.36 : 71,869.77 = 31,927.68 : x
  2. Step 2: Convert to fraction form
    52,074.36/71,869.77 = 31,927.68/x
  3. Step 3: Cross multiply
    52,074.36x = 71,869.77 × 31,927.68
  4. Step 4: Simplify right side
    52,074.36x = 2,294,635,018.23
  5. Step 5: Solve for x
    x = 2,294,635,018.23/52,074.36
  6. Step 6: Final answer
    x = 44,064.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.