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Finding the Fourth Proportional to 32,713, 45,143.94 and 17,809

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Solution

The fourth proportional to 32,713, 45,143.94 and 17,809 is: 24,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713 : 45,143.94 = 17,809 : x
  2. Step 2: Convert to fraction form
    32,713/45,143.94 = 17,809/x
  3. Step 3: Cross multiply
    32,713x = 45,143.94 × 17,809
  4. Step 4: Simplify right side
    32,713x = 803,968,427.46
  5. Step 5: Solve for x
    x = 803,968,427.46/32,713
  6. Step 6: Final answer
    x = 24,576.42

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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.