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Finding the Fourth Proportional to 30,805.74, 46,203.81 and 10,029.10

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Solution

The fourth proportional to 30,805.74, 46,203.81 and 10,029.10 is: 15,042.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.74 : 46,203.81 = 10,029.10 : x
  2. Step 2: Convert to fraction form
    30,805.74/46,203.81 = 10,029.10/x
  3. Step 3: Cross multiply
    30,805.74x = 46,203.81 × 10,029.10
  4. Step 4: Simplify right side
    30,805.74x = 463,382,630.87
  5. Step 5: Solve for x
    x = 463,382,630.87/30,805.74
  6. Step 6: Final answer
    x = 15,042.09

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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.