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Finding the Fourth Proportional to 34,397, 51,575.10 and 14,665.48

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Solution

The fourth proportional to 34,397, 51,575.10 and 14,665.48 is: 21,989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,397 : 51,575.10 = 14,665.48 : x
  2. Step 2: Convert to fraction form
    34,397/51,575.10 = 14,665.48/x
  3. Step 3: Cross multiply
    34,397x = 51,575.10 × 14,665.48
  4. Step 4: Simplify right side
    34,397x = 756,373,597.55
  5. Step 5: Solve for x
    x = 756,373,597.55/34,397
  6. Step 6: Final answer
    x = 21,989.52

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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.