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Finding the Fourth Proportional to 46,493.44, 69,700.86 and 20,178.40

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Solution

The fourth proportional to 46,493.44, 69,700.86 and 20,178.40 is: 30,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.44 : 69,700.86 = 20,178.40 : x
  2. Step 2: Convert to fraction form
    46,493.44/69,700.86 = 20,178.40/x
  3. Step 3: Cross multiply
    46,493.44x = 69,700.86 × 20,178.40
  4. Step 4: Simplify right side
    46,493.44x = 1,406,451,833.42
  5. Step 5: Solve for x
    x = 1,406,451,833.42/46,493.44
  6. Step 6: Final answer
    x = 30,250.54

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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.