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Finding the Fourth Proportional to 102,796.98, 154,193.85 and 32,675.28

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Solution

The fourth proportional to 102,796.98, 154,193.85 and 32,675.28 is: 49,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,796.98 : 154,193.85 = 32,675.28 : x
  2. Step 2: Convert to fraction form
    102,796.98/154,193.85 = 32,675.28/x
  3. Step 3: Cross multiply
    102,796.98x = 154,193.85 × 32,675.28
  4. Step 4: Simplify right side
    102,796.98x = 5,038,327,223.03
  5. Step 5: Solve for x
    x = 5,038,327,223.03/102,796.98
  6. Step 6: Final answer
    x = 49,012.41

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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.