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Finding the Fourth Proportional to 30,725.96, 46,104 and 11,006.04

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Solution

The fourth proportional to 30,725.96, 46,104 and 11,006.04 is: 16,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.96 : 46,104 = 11,006.04 : x
  2. Step 2: Convert to fraction form
    30,725.96/46,104 = 11,006.04/x
  3. Step 3: Cross multiply
    30,725.96x = 46,104 × 11,006.04
  4. Step 4: Simplify right side
    30,725.96x = 507,422,468.16
  5. Step 5: Solve for x
    x = 507,422,468.16/30,725.96
  6. Step 6: Final answer
    x = 16,514.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.