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Finding the Fourth Proportional to 38,026.24, 57,042.24 and 10,323.84

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Solution

The fourth proportional to 38,026.24, 57,042.24 and 10,323.84 is: 15,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,026.24 : 57,042.24 = 10,323.84 : x
  2. Step 2: Convert to fraction form
    38,026.24/57,042.24 = 10,323.84/x
  3. Step 3: Cross multiply
    38,026.24x = 57,042.24 × 10,323.84
  4. Step 4: Simplify right side
    38,026.24x = 588,894,959.00
  5. Step 5: Solve for x
    x = 588,894,959.00/38,026.24
  6. Step 6: Final answer
    x = 15,486.54

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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.