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Finding the Fourth Proportional to 65,740.54, 98,698.29 and 34,597.66

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Solution

The fourth proportional to 65,740.54, 98,698.29 and 34,597.66 is: 51,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740.54 : 98,698.29 = 34,597.66 : x
  2. Step 2: Convert to fraction form
    65,740.54/98,698.29 = 34,597.66/x
  3. Step 3: Cross multiply
    65,740.54x = 98,698.29 × 34,597.66
  4. Step 4: Simplify right side
    65,740.54x = 3,414,729,880.00
  5. Step 5: Solve for x
    x = 3,414,729,880.00/65,740.54
  6. Step 6: Final answer
    x = 51,942.53

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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.