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Finding the Fourth Proportional to 29,748.84, 44,623.41 and 10,027.56

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Solution

The fourth proportional to 29,748.84, 44,623.41 and 10,027.56 is: 15,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748.84 : 44,623.41 = 10,027.56 : x
  2. Step 2: Convert to fraction form
    29,748.84/44,623.41 = 10,027.56/x
  3. Step 3: Cross multiply
    29,748.84x = 44,623.41 × 10,027.56
  4. Step 4: Simplify right side
    29,748.84x = 447,463,871.04
  5. Step 5: Solve for x
    x = 447,463,871.04/29,748.84
  6. Step 6: Final answer
    x = 15,041.39

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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.