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Finding the Fourth Proportional to 35,443, 53,173.14 and 10,819

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Solution

The fourth proportional to 35,443, 53,173.14 and 10,819 is: 16,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,443 : 53,173.14 = 10,819 : x
  2. Step 2: Convert to fraction form
    35,443/53,173.14 = 10,819/x
  3. Step 3: Cross multiply
    35,443x = 53,173.14 × 10,819
  4. Step 4: Simplify right side
    35,443x = 575,280,201.66
  5. Step 5: Solve for x
    x = 575,280,201.66/35,443
  6. Step 6: Final answer
    x = 16,231.14

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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.