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Finding the Fourth Proportional to 46,992.69, 70,481.75 and 13,709.28

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Solution

The fourth proportional to 46,992.69, 70,481.75 and 13,709.28 is: 20,561.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992.69 : 70,481.75 = 13,709.28 : x
  2. Step 2: Convert to fraction form
    46,992.69/70,481.75 = 13,709.28/x
  3. Step 3: Cross multiply
    46,992.69x = 70,481.75 × 13,709.28
  4. Step 4: Simplify right side
    46,992.69x = 966,254,241.40
  5. Step 5: Solve for x
    x = 966,254,241.40/46,992.69
  6. Step 6: Final answer
    x = 20,561.80

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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.