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Finding the Fourth Proportional to 38,003.63, 57,005.45 and 10,301.63

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Solution

The fourth proportional to 38,003.63, 57,005.45 and 10,301.63 is: 15,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003.63 : 57,005.45 = 10,301.63 : x
  2. Step 2: Convert to fraction form
    38,003.63/57,005.45 = 10,301.63/x
  3. Step 3: Cross multiply
    38,003.63x = 57,005.45 × 10,301.63
  4. Step 4: Simplify right side
    38,003.63x = 587,248,717.35
  5. Step 5: Solve for x
    x = 587,248,717.35/38,003.63
  6. Step 6: Final answer
    x = 15,452.44

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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.