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Finding the Fourth Proportional to 54,647.94, 81,965.08 and 15,208.14

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Solution

The fourth proportional to 54,647.94, 81,965.08 and 15,208.14 is: 22,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,647.94 : 81,965.08 = 15,208.14 : x
  2. Step 2: Convert to fraction form
    54,647.94/81,965.08 = 15,208.14/x
  3. Step 3: Cross multiply
    54,647.94x = 81,965.08 × 15,208.14
  4. Step 4: Simplify right side
    54,647.94x = 1,246,536,411.75
  5. Step 5: Solve for x
    x = 1,246,536,411.75/54,647.94
  6. Step 6: Final answer
    x = 22,810.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.