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Finding the Fourth Proportional to 30,055.90, 41,461.96 and 27,918.81

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Solution

The fourth proportional to 30,055.90, 41,461.96 and 27,918.81 is: 38,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,055.90 : 41,461.96 = 27,918.81 : x
  2. Step 2: Convert to fraction form
    30,055.90/41,461.96 = 27,918.81/x
  3. Step 3: Cross multiply
    30,055.90x = 41,461.96 × 27,918.81
  4. Step 4: Simplify right side
    30,055.90x = 1,157,568,583.47
  5. Step 5: Solve for x
    x = 1,157,568,583.47/30,055.90
  6. Step 6: Final answer
    x = 38,513.86

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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.