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Finding the Fourth Proportional to 29,981.94, 44,950.14 and 18,133.20

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Solution

The fourth proportional to 29,981.94, 44,950.14 and 18,133.20 is: 27,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,981.94 : 44,950.14 = 18,133.20 : x
  2. Step 2: Convert to fraction form
    29,981.94/44,950.14 = 18,133.20/x
  3. Step 3: Cross multiply
    29,981.94x = 44,950.14 × 18,133.20
  4. Step 4: Simplify right side
    29,981.94x = 815,089,878.65
  5. Step 5: Solve for x
    x = 815,089,878.65/29,981.94
  6. Step 6: Final answer
    x = 27,186.03

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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.