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Finding the Fourth Proportional to 53,562, 73,884.78 and 33,409.20

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Solution

The fourth proportional to 53,562, 73,884.78 and 33,409.20 is: 46,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,562 : 73,884.78 = 33,409.20 : x
  2. Step 2: Convert to fraction form
    53,562/73,884.78 = 33,409.20/x
  3. Step 3: Cross multiply
    53,562x = 73,884.78 × 33,409.20
  4. Step 4: Simplify right side
    53,562x = 2,468,431,391.98
  5. Step 5: Solve for x
    x = 2,468,431,391.98/53,562
  6. Step 6: Final answer
    x = 46,085.50

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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.