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Finding the Fourth Proportional to 46,893.96, 70,189.88 and 30,896.69

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Solution

The fourth proportional to 46,893.96, 70,189.88 and 30,896.69 is: 46,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,893.96 : 70,189.88 = 30,896.69 : x
  2. Step 2: Convert to fraction form
    46,893.96/70,189.88 = 30,896.69/x
  3. Step 3: Cross multiply
    46,893.96x = 70,189.88 × 30,896.69
  4. Step 4: Simplify right side
    46,893.96x = 2,168,634,458.06
  5. Step 5: Solve for x
    x = 2,168,634,458.06/46,893.96
  6. Step 6: Final answer
    x = 46,245.50

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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.