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Finding the Fourth Proportional to 76,413.44, 114,623.26 and 19,488.82

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Solution

The fourth proportional to 76,413.44, 114,623.26 and 19,488.82 is: 29,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,413.44 : 114,623.26 = 19,488.82 : x
  2. Step 2: Convert to fraction form
    76,413.44/114,623.26 = 19,488.82/x
  3. Step 3: Cross multiply
    76,413.44x = 114,623.26 × 19,488.82
  4. Step 4: Simplify right side
    76,413.44x = 2,233,872,081.95
  5. Step 5: Solve for x
    x = 2,233,872,081.95/76,413.44
  6. Step 6: Final answer
    x = 29,234.02

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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.