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Finding the Fourth Proportional to 29,975.16, 44,962.38 and 7,786.56

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Solution

The fourth proportional to 29,975.16, 44,962.38 and 7,786.56 is: 11,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,975.16 : 44,962.38 = 7,786.56 : x
  2. Step 2: Convert to fraction form
    29,975.16/44,962.38 = 7,786.56/x
  3. Step 3: Cross multiply
    29,975.16x = 44,962.38 × 7,786.56
  4. Step 4: Simplify right side
    29,975.16x = 350,102,269.61
  5. Step 5: Solve for x
    x = 350,102,269.61/29,975.16
  6. Step 6: Final answer
    x = 11,679.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.