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Finding the Fourth Proportional to 36,721, 55,090.14 and 12,097

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Solution

The fourth proportional to 36,721, 55,090.14 and 12,097 is: 18,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,721 : 55,090.14 = 12,097 : x
  2. Step 2: Convert to fraction form
    36,721/55,090.14 = 12,097/x
  3. Step 3: Cross multiply
    36,721x = 55,090.14 × 12,097
  4. Step 4: Simplify right side
    36,721x = 666,425,423.58
  5. Step 5: Solve for x
    x = 666,425,423.58/36,721
  6. Step 6: Final answer
    x = 18,148.35

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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.