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Finding the Fourth Proportional to 35,447.70, 53,172.09 and 17,918.22

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Solution

The fourth proportional to 35,447.70, 53,172.09 and 17,918.22 is: 26,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.70 : 53,172.09 = 17,918.22 : x
  2. Step 2: Convert to fraction form
    35,447.70/53,172.09 = 17,918.22/x
  3. Step 3: Cross multiply
    35,447.70x = 53,172.09 × 17,918.22
  4. Step 4: Simplify right side
    35,447.70x = 952,749,206.48
  5. Step 5: Solve for x
    x = 952,749,206.48/35,447.70
  6. Step 6: Final answer
    x = 26,877.60

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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.