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Finding the Fourth Proportional to 36,270, 54,405.36 and 12,897.36

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Solution

The fourth proportional to 36,270, 54,405.36 and 12,897.36 is: 19,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,270 : 54,405.36 = 12,897.36 : x
  2. Step 2: Convert to fraction form
    36,270/54,405.36 = 12,897.36/x
  3. Step 3: Cross multiply
    36,270x = 54,405.36 × 12,897.36
  4. Step 4: Simplify right side
    36,270x = 701,685,513.85
  5. Step 5: Solve for x
    x = 701,685,513.85/36,270
  6. Step 6: Final answer
    x = 19,346.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.