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Finding the Fourth Proportional to 46,493.77, 69,741.15 and 18,420.67

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Solution

The fourth proportional to 46,493.77, 69,741.15 and 18,420.67 is: 27,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.77 : 69,741.15 = 18,420.67 : x
  2. Step 2: Convert to fraction form
    46,493.77/69,741.15 = 18,420.67/x
  3. Step 3: Cross multiply
    46,493.77x = 69,741.15 × 18,420.67
  4. Step 4: Simplify right side
    46,493.77x = 1,284,678,709.57
  5. Step 5: Solve for x
    x = 1,284,678,709.57/46,493.77
  6. Step 6: Final answer
    x = 27,631.20

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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.