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Finding the Fourth Proportional to 30,725.64, 46,089 and 13,195.80

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Solution

The fourth proportional to 30,725.64, 46,089 and 13,195.80 is: 19,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.64 : 46,089 = 13,195.80 : x
  2. Step 2: Convert to fraction form
    30,725.64/46,089 = 13,195.80/x
  3. Step 3: Cross multiply
    30,725.64x = 46,089 × 13,195.80
  4. Step 4: Simplify right side
    30,725.64x = 608,181,226.20
  5. Step 5: Solve for x
    x = 608,181,226.20/30,725.64
  6. Step 6: Final answer
    x = 19,793.93

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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.