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Finding the Fourth Proportional to 29,987.42, 44,982.34 and 7,802.73

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Solution

The fourth proportional to 29,987.42, 44,982.34 and 7,802.73 is: 11,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,987.42 : 44,982.34 = 7,802.73 : x
  2. Step 2: Convert to fraction form
    29,987.42/44,982.34 = 7,802.73/x
  3. Step 3: Cross multiply
    29,987.42x = 44,982.34 × 7,802.73
  4. Step 4: Simplify right side
    29,987.42x = 350,985,034.28
  5. Step 5: Solve for x
    x = 350,985,034.28/29,987.42
  6. Step 6: Final answer
    x = 11,704.41

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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.