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Finding the Fourth Proportional to 71,002.65, 106,413.53 and 37,738.65

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Solution

The fourth proportional to 71,002.65, 106,413.53 and 37,738.65 is: 56,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002.65 : 106,413.53 = 37,738.65 : x
  2. Step 2: Convert to fraction form
    71,002.65/106,413.53 = 37,738.65/x
  3. Step 3: Cross multiply
    71,002.65x = 106,413.53 × 37,738.65
  4. Step 4: Simplify right side
    71,002.65x = 4,015,902,775.24
  5. Step 5: Solve for x
    x = 4,015,902,775.24/71,002.65
  6. Step 6: Final answer
    x = 56,559.90

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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.