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Finding the Fourth Proportional to 38,005.50, 57,009.06 and 13,045.44

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Solution

The fourth proportional to 38,005.50, 57,009.06 and 13,045.44 is: 19,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.50 : 57,009.06 = 13,045.44 : x
  2. Step 2: Convert to fraction form
    38,005.50/57,009.06 = 13,045.44/x
  3. Step 3: Cross multiply
    38,005.50x = 57,009.06 × 13,045.44
  4. Step 4: Simplify right side
    38,005.50x = 743,708,271.69
  5. Step 5: Solve for x
    x = 743,708,271.69/38,005.50
  6. Step 6: Final answer
    x = 19,568.44

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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.