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Finding the Fourth Proportional to 68,160.34, 102,256.67 and 21,413.22

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Solution

The fourth proportional to 68,160.34, 102,256.67 and 21,413.22 is: 32,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,160.34 : 102,256.67 = 21,413.22 : x
  2. Step 2: Convert to fraction form
    68,160.34/102,256.67 = 21,413.22/x
  3. Step 3: Cross multiply
    68,160.34x = 102,256.67 × 21,413.22
  4. Step 4: Simplify right side
    68,160.34x = 2,189,644,571.18
  5. Step 5: Solve for x
    x = 2,189,644,571.18/68,160.34
  6. Step 6: Final answer
    x = 32,124.91

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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.