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Finding the Fourth Proportional to 38,400.30, 57,600.45 and 34,026.30

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Solution

The fourth proportional to 38,400.30, 57,600.45 and 34,026.30 is: 51,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.30 : 57,600.45 = 34,026.30 : x
  2. Step 2: Convert to fraction form
    38,400.30/57,600.45 = 34,026.30/x
  3. Step 3: Cross multiply
    38,400.30x = 57,600.45 × 34,026.30
  4. Step 4: Simplify right side
    38,400.30x = 1,959,930,191.84
  5. Step 5: Solve for x
    x = 1,959,930,191.84/38,400.30
  6. Step 6: Final answer
    x = 51,039.45

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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.