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Finding the Fourth Proportional to 30,722.72, 42,383.66 and 25,080.78

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Solution

The fourth proportional to 30,722.72, 42,383.66 and 25,080.78 is: 34,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,722.72 : 42,383.66 = 25,080.78 : x
  2. Step 2: Convert to fraction form
    30,722.72/42,383.66 = 25,080.78/x
  3. Step 3: Cross multiply
    30,722.72x = 42,383.66 × 25,080.78
  4. Step 4: Simplify right side
    30,722.72x = 1,063,015,126.65
  5. Step 5: Solve for x
    x = 1,063,015,126.65/30,722.72
  6. Step 6: Final answer
    x = 34,600.29

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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.