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Finding the Fourth Proportional to 30,804.74, 46,202.31 and 10,028.10

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Solution

The fourth proportional to 30,804.74, 46,202.31 and 10,028.10 is: 15,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.74 : 46,202.31 = 10,028.10 : x
  2. Step 2: Convert to fraction form
    30,804.74/46,202.31 = 10,028.10/x
  3. Step 3: Cross multiply
    30,804.74x = 46,202.31 × 10,028.10
  4. Step 4: Simplify right side
    30,804.74x = 463,321,384.91
  5. Step 5: Solve for x
    x = 463,321,384.91/30,804.74
  6. Step 6: Final answer
    x = 15,040.59

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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.