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Finding the Fourth Proportional to 38,048.96, 57,073.02 and 11,750.72

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Solution

The fourth proportional to 38,048.96, 57,073.02 and 11,750.72 is: 17,625.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,048.96 : 57,073.02 = 11,750.72 : x
  2. Step 2: Convert to fraction form
    38,048.96/57,073.02 = 11,750.72/x
  3. Step 3: Cross multiply
    38,048.96x = 57,073.02 × 11,750.72
  4. Step 4: Simplify right side
    38,048.96x = 670,649,077.57
  5. Step 5: Solve for x
    x = 670,649,077.57/38,048.96
  6. Step 6: Final answer
    x = 17,625.95

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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.