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Finding the Fourth Proportional to 49,709.70, 74,528.10 and 20,112.30

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Solution

The fourth proportional to 49,709.70, 74,528.10 and 20,112.30 is: 30,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709.70 : 74,528.10 = 20,112.30 : x
  2. Step 2: Convert to fraction form
    49,709.70/74,528.10 = 20,112.30/x
  3. Step 3: Cross multiply
    49,709.70x = 74,528.10 × 20,112.30
  4. Step 4: Simplify right side
    49,709.70x = 1,498,931,505.63
  5. Step 5: Solve for x
    x = 1,498,931,505.63/49,709.70
  6. Step 6: Final answer
    x = 30,153.70

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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.