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Finding the Fourth Proportional to 38,078.40, 57,073.44 and 22,509.12

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Solution

The fourth proportional to 38,078.40, 57,073.44 and 22,509.12 is: 33,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.40 : 57,073.44 = 22,509.12 : x
  2. Step 2: Convert to fraction form
    38,078.40/57,073.44 = 22,509.12/x
  3. Step 3: Cross multiply
    38,078.40x = 57,073.44 × 22,509.12
  4. Step 4: Simplify right side
    38,078.40x = 1,284,672,909.77
  5. Step 5: Solve for x
    x = 1,284,672,909.77/38,078.40
  6. Step 6: Final answer
    x = 33,737.58

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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.