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Finding the Fourth Proportional to 46,223.35, 69,334.87 and 11,163

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Solution

The fourth proportional to 46,223.35, 69,334.87 and 11,163 is: 16,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,223.35 : 69,334.87 = 11,163 : x
  2. Step 2: Convert to fraction form
    46,223.35/69,334.87 = 11,163/x
  3. Step 3: Cross multiply
    46,223.35x = 69,334.87 × 11,163
  4. Step 4: Simplify right side
    46,223.35x = 773,985,153.81
  5. Step 5: Solve for x
    x = 773,985,153.81/46,223.35
  6. Step 6: Final answer
    x = 16,744.46

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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.