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Finding the Fourth Proportional to 53,852.67, 74,323.62 and 30,891.42

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Solution

The fourth proportional to 53,852.67, 74,323.62 and 30,891.42 is: 42,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852.67 : 74,323.62 = 30,891.42 : x
  2. Step 2: Convert to fraction form
    53,852.67/74,323.62 = 30,891.42/x
  3. Step 3: Cross multiply
    53,852.67x = 74,323.62 × 30,891.42
  4. Step 4: Simplify right side
    53,852.67x = 2,295,962,161.34
  5. Step 5: Solve for x
    x = 2,295,962,161.34/53,852.67
  6. Step 6: Final answer
    x = 42,634.14

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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.