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Finding the Fourth Proportional to 38,004.32, 57,014.64 and 11,352.42

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Solution

The fourth proportional to 38,004.32, 57,014.64 and 11,352.42 is: 17,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004.32 : 57,014.64 = 11,352.42 : x
  2. Step 2: Convert to fraction form
    38,004.32/57,014.64 = 11,352.42/x
  3. Step 3: Cross multiply
    38,004.32x = 57,014.64 × 11,352.42
  4. Step 4: Simplify right side
    38,004.32x = 647,254,139.43
  5. Step 5: Solve for x
    x = 647,254,139.43/38,004.32
  6. Step 6: Final answer
    x = 17,031.07

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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.