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Finding the Fourth Proportional to 31,793.93, 47,698.49 and 9,607.52

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Solution

The fourth proportional to 31,793.93, 47,698.49 and 9,607.52 is: 14,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.93 : 47,698.49 = 9,607.52 : x
  2. Step 2: Convert to fraction form
    31,793.93/47,698.49 = 9,607.52/x
  3. Step 3: Cross multiply
    31,793.93x = 47,698.49 × 9,607.52
  4. Step 4: Simplify right side
    31,793.93x = 458,264,267.85
  5. Step 5: Solve for x
    x = 458,264,267.85/31,793.93
  6. Step 6: Final answer
    x = 14,413.58

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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.