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Finding the Fourth Proportional to 38,497.70, 57,741.15 and 12,205.10

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Solution

The fourth proportional to 38,497.70, 57,741.15 and 12,205.10 is: 18,305.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.70 : 57,741.15 = 12,205.10 : x
  2. Step 2: Convert to fraction form
    38,497.70/57,741.15 = 12,205.10/x
  3. Step 3: Cross multiply
    38,497.70x = 57,741.15 × 12,205.10
  4. Step 4: Simplify right side
    38,497.70x = 704,736,509.87
  5. Step 5: Solve for x
    x = 704,736,509.87/38,497.70
  6. Step 6: Final answer
    x = 18,305.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.