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Finding the Fourth Proportional to 30,749.29, 42,405.80 and 20,144.77

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Solution

The fourth proportional to 30,749.29, 42,405.80 and 20,144.77 is: 27,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,749.29 : 42,405.80 = 20,144.77 : x
  2. Step 2: Convert to fraction form
    30,749.29/42,405.80 = 20,144.77/x
  3. Step 3: Cross multiply
    30,749.29x = 42,405.80 × 20,144.77
  4. Step 4: Simplify right side
    30,749.29x = 854,254,880.93
  5. Step 5: Solve for x
    x = 854,254,880.93/30,749.29
  6. Step 6: Final answer
    x = 27,781.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.