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Finding the Fourth Proportional to 142,771.56, 214,168.26 and 37,589

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Solution

The fourth proportional to 142,771.56, 214,168.26 and 37,589 is: 56,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,771.56 : 214,168.26 = 37,589 : x
  2. Step 2: Convert to fraction form
    142,771.56/214,168.26 = 37,589/x
  3. Step 3: Cross multiply
    142,771.56x = 214,168.26 × 37,589
  4. Step 4: Simplify right side
    142,771.56x = 8,050,370,725.14
  5. Step 5: Solve for x
    x = 8,050,370,725.14/142,771.56
  6. Step 6: Final answer
    x = 56,386.38

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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.