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Finding the Fourth Proportional to 77,007.88, 115,516.02 and 24,413.56

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Solution

The fourth proportional to 77,007.88, 115,516.02 and 24,413.56 is: 36,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007.88 : 115,516.02 = 24,413.56 : x
  2. Step 2: Convert to fraction form
    77,007.88/115,516.02 = 24,413.56/x
  3. Step 3: Cross multiply
    77,007.88x = 115,516.02 × 24,413.56
  4. Step 4: Simplify right side
    77,007.88x = 2,820,157,285.23
  5. Step 5: Solve for x
    x = 2,820,157,285.23/77,007.88
  6. Step 6: Final answer
    x = 36,621.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.