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Finding the Fourth Proportional to 76,006, 114,024.12 and 23,413.24

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Solution

The fourth proportional to 76,006, 114,024.12 and 23,413.24 is: 35,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,006 : 114,024.12 = 23,413.24 : x
  2. Step 2: Convert to fraction form
    76,006/114,024.12 = 23,413.24/x
  3. Step 3: Cross multiply
    76,006x = 114,024.12 × 23,413.24
  4. Step 4: Simplify right side
    76,006x = 2,669,674,087.35
  5. Step 5: Solve for x
    x = 2,669,674,087.35/76,006
  6. Step 6: Final answer
    x = 35,124.52

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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.