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Finding the Fourth Proportional to 53,211.60, 73,418.76 and 34,326

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Solution

The fourth proportional to 53,211.60, 73,418.76 and 34,326 is: 47,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,211.60 : 73,418.76 = 34,326 : x
  2. Step 2: Convert to fraction form
    53,211.60/73,418.76 = 34,326/x
  3. Step 3: Cross multiply
    53,211.60x = 73,418.76 × 34,326
  4. Step 4: Simplify right side
    53,211.60x = 2,520,172,355.76
  5. Step 5: Solve for x
    x = 2,520,172,355.76/53,211.60
  6. Step 6: Final answer
    x = 47,361.33

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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.