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Finding the Fourth Proportional to 69,812.64, 96,338.64 and 37,981.67

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Solution

The fourth proportional to 69,812.64, 96,338.64 and 37,981.67 is: 52,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,812.64 : 96,338.64 = 37,981.67 : x
  2. Step 2: Convert to fraction form
    69,812.64/96,338.64 = 37,981.67/x
  3. Step 3: Cross multiply
    69,812.64x = 96,338.64 × 37,981.67
  4. Step 4: Simplify right side
    69,812.64x = 3,659,102,242.82
  5. Step 5: Solve for x
    x = 3,659,102,242.82/69,812.64
  6. Step 6: Final answer
    x = 52,413.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.