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Finding the Fourth Proportional to 34,708.82, 52,062.76 and 8,413.79

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Solution

The fourth proportional to 34,708.82, 52,062.76 and 8,413.79 is: 12,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708.82 : 52,062.76 = 8,413.79 : x
  2. Step 2: Convert to fraction form
    34,708.82/52,062.76 = 8,413.79/x
  3. Step 3: Cross multiply
    34,708.82x = 52,062.76 × 8,413.79
  4. Step 4: Simplify right side
    34,708.82x = 438,045,129.46
  5. Step 5: Solve for x
    x = 438,045,129.46/34,708.82
  6. Step 6: Final answer
    x = 12,620.57

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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.