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Finding the Fourth Proportional to 38,004.48, 57,005.76 and 10,301.76

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Solution

The fourth proportional to 38,004.48, 57,005.76 and 10,301.76 is: 15,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.48 : 57,005.76 = 10,301.76 : x
  2. Step 2: Convert to fraction form
    38,004.48/57,005.76 = 10,301.76/x
  3. Step 3: Cross multiply
    38,004.48x = 57,005.76 × 10,301.76
  4. Step 4: Simplify right side
    38,004.48x = 587,259,658.14
  5. Step 5: Solve for x
    x = 587,259,658.14/38,004.48
  6. Step 6: Final answer
    x = 15,452.38

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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.