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Finding the Fourth Proportional to 34,196.46, 51,384.90 and 18,413.16

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Solution

The fourth proportional to 34,196.46, 51,384.90 and 18,413.16 is: 27,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.46 : 51,384.90 = 18,413.16 : x
  2. Step 2: Convert to fraction form
    34,196.46/51,384.90 = 18,413.16/x
  3. Step 3: Cross multiply
    34,196.46x = 51,384.90 × 18,413.16
  4. Step 4: Simplify right side
    34,196.46x = 946,158,385.28
  5. Step 5: Solve for x
    x = 946,158,385.28/34,196.46
  6. Step 6: Final answer
    x = 27,668.31

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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.