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Finding the Fourth Proportional to 27,570.50, 41,369.42 and 10,930.16

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Solution

The fourth proportional to 27,570.50, 41,369.42 and 10,930.16 is: 16,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.50 : 41,369.42 = 10,930.16 : x
  2. Step 2: Convert to fraction form
    27,570.50/41,369.42 = 10,930.16/x
  3. Step 3: Cross multiply
    27,570.50x = 41,369.42 × 10,930.16
  4. Step 4: Simplify right side
    27,570.50x = 452,174,379.71
  5. Step 5: Solve for x
    x = 452,174,379.71/27,570.50
  6. Step 6: Final answer
    x = 16,400.66

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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.