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Finding the Fourth Proportional to 54,641.86, 81,962.52 and 17,205.10

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Solution

The fourth proportional to 54,641.86, 81,962.52 and 17,205.10 is: 25,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641.86 : 81,962.52 = 17,205.10 : x
  2. Step 2: Convert to fraction form
    54,641.86/81,962.52 = 17,205.10/x
  3. Step 3: Cross multiply
    54,641.86x = 81,962.52 × 17,205.10
  4. Step 4: Simplify right side
    54,641.86x = 1,410,173,352.85
  5. Step 5: Solve for x
    x = 1,410,173,352.85/54,641.86
  6. Step 6: Final answer
    x = 25,807.56

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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.