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Finding the Fourth Proportional to 30,138.52, 41,588.58 and 17,564.44

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Solution

The fourth proportional to 30,138.52, 41,588.58 and 17,564.44 is: 24,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.52 : 41,588.58 = 17,564.44 : x
  2. Step 2: Convert to fraction form
    30,138.52/41,588.58 = 17,564.44/x
  3. Step 3: Cross multiply
    30,138.52x = 41,588.58 × 17,564.44
  4. Step 4: Simplify right side
    30,138.52x = 730,480,118.10
  5. Step 5: Solve for x
    x = 730,480,118.10/30,138.52
  6. Step 6: Final answer
    x = 24,237.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.