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Finding the Fourth Proportional to 38,443.26, 57,664.55 and 12,148

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Solution

The fourth proportional to 38,443.26, 57,664.55 and 12,148 is: 18,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.26 : 57,664.55 = 12,148 : x
  2. Step 2: Convert to fraction form
    38,443.26/57,664.55 = 12,148/x
  3. Step 3: Cross multiply
    38,443.26x = 57,664.55 × 12,148
  4. Step 4: Simplify right side
    38,443.26x = 700,508,953.40
  5. Step 5: Solve for x
    x = 700,508,953.40/38,443.26
  6. Step 6: Final answer
    x = 18,221.89

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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.