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Finding the Fourth Proportional to 38,356, 57,532.62 and 13,395.95

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Solution

The fourth proportional to 38,356, 57,532.62 and 13,395.95 is: 20,093.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,356 : 57,532.62 = 13,395.95 : x
  2. Step 2: Convert to fraction form
    38,356/57,532.62 = 13,395.95/x
  3. Step 3: Cross multiply
    38,356x = 57,532.62 × 13,395.95
  4. Step 4: Simplify right side
    38,356x = 770,704,100.89
  5. Step 5: Solve for x
    x = 770,704,100.89/38,356
  6. Step 6: Final answer
    x = 20,093.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.