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Finding the Fourth Proportional to 54,782.52, 82,124.43 and 19,697.50

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Solution

The fourth proportional to 54,782.52, 82,124.43 and 19,697.50 is: 29,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.52 : 82,124.43 = 19,697.50 : x
  2. Step 2: Convert to fraction form
    54,782.52/82,124.43 = 19,697.50/x
  3. Step 3: Cross multiply
    54,782.52x = 82,124.43 × 19,697.50
  4. Step 4: Simplify right side
    54,782.52x = 1,617,645,959.93
  5. Step 5: Solve for x
    x = 1,617,645,959.93/54,782.52
  6. Step 6: Final answer
    x = 29,528.51

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