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Finding the Fourth Proportional to 53,852.89, 74,323.98 and 30,891.69

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Solution

The fourth proportional to 53,852.89, 74,323.98 and 30,891.69 is: 42,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852.89 : 74,323.98 = 30,891.69 : x
  2. Step 2: Convert to fraction form
    53,852.89/74,323.98 = 30,891.69/x
  3. Step 3: Cross multiply
    53,852.89x = 74,323.98 × 30,891.69
  4. Step 4: Simplify right side
    53,852.89x = 2,295,993,349.73
  5. Step 5: Solve for x
    x = 2,295,993,349.73/53,852.89
  6. Step 6: Final answer
    x = 42,634.54

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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.