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Finding the Fourth Proportional to 30,874.75, 46,238.13 and 15,842.31

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Solution

The fourth proportional to 30,874.75, 46,238.13 and 15,842.31 is: 23,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.75 : 46,238.13 = 15,842.31 : x
  2. Step 2: Convert to fraction form
    30,874.75/46,238.13 = 15,842.31/x
  3. Step 3: Cross multiply
    30,874.75x = 46,238.13 × 15,842.31
  4. Step 4: Simplify right side
    30,874.75x = 732,518,710.07
  5. Step 5: Solve for x
    x = 732,518,710.07/30,874.75
  6. Step 6: Final answer
    x = 23,725.49

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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.