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Finding the Fourth Proportional to 38,204.66, 57,309.53 and 10,124.33

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Solution

The fourth proportional to 38,204.66, 57,309.53 and 10,124.33 is: 15,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.66 : 57,309.53 = 10,124.33 : x
  2. Step 2: Convert to fraction form
    38,204.66/57,309.53 = 10,124.33/x
  3. Step 3: Cross multiply
    38,204.66x = 57,309.53 × 10,124.33
  4. Step 4: Simplify right side
    38,204.66x = 580,220,256.70
  5. Step 5: Solve for x
    x = 580,220,256.70/38,204.66
  6. Step 6: Final answer
    x = 15,187.16

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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.