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Finding the Fourth Proportional to 29,977.80, 44,962.44 and 10,253.49

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Solution

The fourth proportional to 29,977.80, 44,962.44 and 10,253.49 is: 15,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.80 : 44,962.44 = 10,253.49 : x
  2. Step 2: Convert to fraction form
    29,977.80/44,962.44 = 10,253.49/x
  3. Step 3: Cross multiply
    29,977.80x = 44,962.44 × 10,253.49
  4. Step 4: Simplify right side
    29,977.80x = 461,021,928.92
  5. Step 5: Solve for x
    x = 461,021,928.92/29,977.80
  6. Step 6: Final answer
    x = 15,378.78

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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.