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Finding the Fourth Proportional to 105,561.53, 158,352.69 and 30,682.32

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Solution

The fourth proportional to 105,561.53, 158,352.69 and 30,682.32 is: 46,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,561.53 : 158,352.69 = 30,682.32 : x
  2. Step 2: Convert to fraction form
    105,561.53/158,352.69 = 30,682.32/x
  3. Step 3: Cross multiply
    105,561.53x = 158,352.69 × 30,682.32
  4. Step 4: Simplify right side
    105,561.53x = 4,858,627,907.44
  5. Step 5: Solve for x
    x = 4,858,627,907.44/105,561.53
  6. Step 6: Final answer
    x = 46,026.50

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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.