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Finding the Fourth Proportional to 43,175.70, 64,654.20 and 34,427.70

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Solution

The fourth proportional to 43,175.70, 64,654.20 and 34,427.70 is: 51,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,175.70 : 64,654.20 = 34,427.70 : x
  2. Step 2: Convert to fraction form
    43,175.70/64,654.20 = 34,427.70/x
  3. Step 3: Cross multiply
    43,175.70x = 64,654.20 × 34,427.70
  4. Step 4: Simplify right side
    43,175.70x = 2,225,895,401.34
  5. Step 5: Solve for x
    x = 2,225,895,401.34/43,175.70
  6. Step 6: Final answer
    x = 51,554.36

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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.