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Finding the Fourth Proportional to 46,354.94, 69,532.41 and 18,633.50

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Solution

The fourth proportional to 46,354.94, 69,532.41 and 18,633.50 is: 27,950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,354.94 : 69,532.41 = 18,633.50 : x
  2. Step 2: Convert to fraction form
    46,354.94/69,532.41 = 18,633.50/x
  3. Step 3: Cross multiply
    46,354.94x = 69,532.41 × 18,633.50
  4. Step 4: Simplify right side
    46,354.94x = 1,295,632,161.74
  5. Step 5: Solve for x
    x = 1,295,632,161.74/46,354.94
  6. Step 6: Final answer
    x = 27,950.25

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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.