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Finding the Fourth Proportional to 34,164.36, 51,262.36 and 13,097.36

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Solution

The fourth proportional to 34,164.36, 51,262.36 and 13,097.36 is: 19,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.36 : 51,262.36 = 13,097.36 : x
  2. Step 2: Convert to fraction form
    34,164.36/51,262.36 = 13,097.36/x
  3. Step 3: Cross multiply
    34,164.36x = 51,262.36 × 13,097.36
  4. Step 4: Simplify right side
    34,164.36x = 671,401,294.31
  5. Step 5: Solve for x
    x = 671,401,294.31/34,164.36
  6. Step 6: Final answer
    x = 19,652.10

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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.