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Finding the Fourth Proportional to 71,407.96, 107,006.36 and 67,413.95

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Solution

The fourth proportional to 71,407.96, 107,006.36 and 67,413.95 is: 101,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,407.96 : 107,006.36 = 67,413.95 : x
  2. Step 2: Convert to fraction form
    71,407.96/107,006.36 = 67,413.95/x
  3. Step 3: Cross multiply
    71,407.96x = 107,006.36 × 67,413.95
  4. Step 4: Simplify right side
    71,407.96x = 7,213,721,065.65
  5. Step 5: Solve for x
    x = 7,213,721,065.65/71,407.96
  6. Step 6: Final answer
    x = 101,021.25

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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.