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Finding the Fourth Proportional to 46,489.77, 69,695.46 and 20,174.69

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Solution

The fourth proportional to 46,489.77, 69,695.46 and 20,174.69 is: 30,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489.77 : 69,695.46 = 20,174.69 : x
  2. Step 2: Convert to fraction form
    46,489.77/69,695.46 = 20,174.69/x
  3. Step 3: Cross multiply
    46,489.77x = 69,695.46 × 20,174.69
  4. Step 4: Simplify right side
    46,489.77x = 1,406,083,951.43
  5. Step 5: Solve for x
    x = 1,406,083,951.43/46,489.77
  6. Step 6: Final answer
    x = 30,245.02

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1.5x scale

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.