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Finding the Fourth Proportional to 30,801.25, 46,205.52 and 10,024.75

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Solution

The fourth proportional to 30,801.25, 46,205.52 and 10,024.75 is: 15,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801.25 : 46,205.52 = 10,024.75 : x
  2. Step 2: Convert to fraction form
    30,801.25/46,205.52 = 10,024.75/x
  3. Step 3: Cross multiply
    30,801.25x = 46,205.52 × 10,024.75
  4. Step 4: Simplify right side
    30,801.25x = 463,198,786.62
  5. Step 5: Solve for x
    x = 463,198,786.62/30,801.25
  6. Step 6: Final answer
    x = 15,038.31

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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.