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Finding the Fourth Proportional to 30,211.85, 41,692.32 and 16,784.35

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Solution

The fourth proportional to 30,211.85, 41,692.32 and 16,784.35 is: 23,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.85 : 41,692.32 = 16,784.35 : x
  2. Step 2: Convert to fraction form
    30,211.85/41,692.32 = 16,784.35/x
  3. Step 3: Cross multiply
    30,211.85x = 41,692.32 × 16,784.35
  4. Step 4: Simplify right side
    30,211.85x = 699,778,386.96
  5. Step 5: Solve for x
    x = 699,778,386.96/30,211.85
  6. Step 6: Final answer
    x = 23,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.