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Finding the Fourth Proportional to 46,459.51, 69,689.25 and 20,163.67

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Solution

The fourth proportional to 46,459.51, 69,689.25 and 20,163.67 is: 30,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,459.51 : 69,689.25 = 20,163.67 : x
  2. Step 2: Convert to fraction form
    46,459.51/69,689.25 = 20,163.67/x
  3. Step 3: Cross multiply
    46,459.51x = 69,689.25 × 20,163.67
  4. Step 4: Simplify right side
    46,459.51x = 1,405,190,865.32
  5. Step 5: Solve for x
    x = 1,405,190,865.32/46,459.51
  6. Step 6: Final answer
    x = 30,245.50

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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.