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Finding the Fourth Proportional to 34,398, 51,576.60 and 14,666.48

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Solution

The fourth proportional to 34,398, 51,576.60 and 14,666.48 is: 21,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,398 : 51,576.60 = 14,666.48 : x
  2. Step 2: Convert to fraction form
    34,398/51,576.60 = 14,666.48/x
  3. Step 3: Cross multiply
    34,398x = 51,576.60 × 14,666.48
  4. Step 4: Simplify right side
    34,398x = 756,447,172.37
  5. Step 5: Solve for x
    x = 756,447,172.37/34,398
  6. Step 6: Final answer
    x = 21,991.02

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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.