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Finding the Fourth Proportional to 32,905.80, 49,285.80 and 13,174.20

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Solution

The fourth proportional to 32,905.80, 49,285.80 and 13,174.20 is: 19,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.80 : 49,285.80 = 13,174.20 : x
  2. Step 2: Convert to fraction form
    32,905.80/49,285.80 = 13,174.20/x
  3. Step 3: Cross multiply
    32,905.80x = 49,285.80 × 13,174.20
  4. Step 4: Simplify right side
    32,905.80x = 649,300,986.36
  5. Step 5: Solve for x
    x = 649,300,986.36/32,905.80
  6. Step 6: Final answer
    x = 19,732.11

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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.