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Finding the Fourth Proportional to 30,676.68, 46,073.34 and 19,071

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Solution

The fourth proportional to 30,676.68, 46,073.34 and 19,071 is: 28,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.68 : 46,073.34 = 19,071 : x
  2. Step 2: Convert to fraction form
    30,676.68/46,073.34 = 19,071/x
  3. Step 3: Cross multiply
    30,676.68x = 46,073.34 × 19,071
  4. Step 4: Simplify right side
    30,676.68x = 878,664,667.14
  5. Step 5: Solve for x
    x = 878,664,667.14/30,676.68
  6. Step 6: Final answer
    x = 28,642.76

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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.