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Finding the Fourth Proportional to 36,001, 49,681.38 and 21,097

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Solution

The fourth proportional to 36,001, 49,681.38 and 21,097 is: 29,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,001 : 49,681.38 = 21,097 : x
  2. Step 2: Convert to fraction form
    36,001/49,681.38 = 21,097/x
  3. Step 3: Cross multiply
    36,001x = 49,681.38 × 21,097
  4. Step 4: Simplify right side
    36,001x = 1,048,128,073.86
  5. Step 5: Solve for x
    x = 1,048,128,073.86/36,001
  6. Step 6: Final answer
    x = 29,113.86

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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.