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Finding the Fourth Proportional to 30,090.74, 41,494.77 and 20,006.26

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Solution

The fourth proportional to 30,090.74, 41,494.77 and 20,006.26 is: 27,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.74 : 41,494.77 = 20,006.26 : x
  2. Step 2: Convert to fraction form
    30,090.74/41,494.77 = 20,006.26/x
  3. Step 3: Cross multiply
    30,090.74x = 41,494.77 × 20,006.26
  4. Step 4: Simplify right side
    30,090.74x = 830,155,157.26
  5. Step 5: Solve for x
    x = 830,155,157.26/30,090.74
  6. Step 6: Final answer
    x = 27,588.39

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Why These Related Problems?

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