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Finding the Fourth Proportional to 52,111.50, 78,166.69 and 12,668.66

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Solution

The fourth proportional to 52,111.50, 78,166.69 and 12,668.66 is: 19,002.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.50 : 78,166.69 = 12,668.66 : x
  2. Step 2: Convert to fraction form
    52,111.50/78,166.69 = 12,668.66/x
  3. Step 3: Cross multiply
    52,111.50x = 78,166.69 × 12,668.66
  4. Step 4: Simplify right side
    52,111.50x = 990,267,218.94
  5. Step 5: Solve for x
    x = 990,267,218.94/52,111.50
  6. Step 6: Final answer
    x = 19,002.85

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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.