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Finding the Fourth Proportional to 36,413.86, 54,642.02 and 15,352.61

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Solution

The fourth proportional to 36,413.86, 54,642.02 and 15,352.61 is: 23,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,413.86 : 54,642.02 = 15,352.61 : x
  2. Step 2: Convert to fraction form
    36,413.86/54,642.02 = 15,352.61/x
  3. Step 3: Cross multiply
    36,413.86x = 54,642.02 × 15,352.61
  4. Step 4: Simplify right side
    36,413.86x = 838,897,622.67
  5. Step 5: Solve for x
    x = 838,897,622.67/36,413.86
  6. Step 6: Final answer
    x = 23,037.87

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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.