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Finding the Fourth Proportional to 30,608.56, 45,874.48 and 13,057.84

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Solution

The fourth proportional to 30,608.56, 45,874.48 and 13,057.84 is: 19,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,608.56 : 45,874.48 = 13,057.84 : x
  2. Step 2: Convert to fraction form
    30,608.56/45,874.48 = 13,057.84/x
  3. Step 3: Cross multiply
    30,608.56x = 45,874.48 × 13,057.84
  4. Step 4: Simplify right side
    30,608.56x = 599,021,619.92
  5. Step 5: Solve for x
    x = 599,021,619.92/30,608.56
  6. Step 6: Final answer
    x = 19,570.40

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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.