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Finding the Fourth Proportional to 49,022, 73,416 and 28,201.76

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Solution

The fourth proportional to 49,022, 73,416 and 28,201.76 is: 42,235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,022 : 73,416 = 28,201.76 : x
  2. Step 2: Convert to fraction form
    49,022/73,416 = 28,201.76/x
  3. Step 3: Cross multiply
    49,022x = 73,416 × 28,201.76
  4. Step 4: Simplify right side
    49,022x = 2,070,460,412.16
  5. Step 5: Solve for x
    x = 2,070,460,412.16/49,022
  6. Step 6: Final answer
    x = 42,235.33

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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.