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Finding the Fourth Proportional to 113,768.94, 170,633.97 and 30,643.50

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Solution

The fourth proportional to 113,768.94, 170,633.97 and 30,643.50 is: 45,960.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,768.94 : 170,633.97 = 30,643.50 : x
  2. Step 2: Convert to fraction form
    113,768.94/170,633.97 = 30,643.50/x
  3. Step 3: Cross multiply
    113,768.94x = 170,633.97 × 30,643.50
  4. Step 4: Simplify right side
    113,768.94x = 5,228,822,059.70
  5. Step 5: Solve for x
    x = 5,228,822,059.70/113,768.94
  6. Step 6: Final answer
    x = 45,960.01

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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.