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Finding the Fourth Proportional to 114,459.44, 171,685.44 and 34,497.84

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Solution

The fourth proportional to 114,459.44, 171,685.44 and 34,497.84 is: 51,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,459.44 : 171,685.44 = 34,497.84 : x
  2. Step 2: Convert to fraction form
    114,459.44/171,685.44 = 34,497.84/x
  3. Step 3: Cross multiply
    114,459.44x = 171,685.44 × 34,497.84
  4. Step 4: Simplify right side
    114,459.44x = 5,922,776,839.45
  5. Step 5: Solve for x
    x = 5,922,776,839.45/114,459.44
  6. Step 6: Final answer
    x = 51,745.64

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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.