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Finding the Fourth Proportional to 47,838, 71,768.52 and 15,006

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Solution

The fourth proportional to 47,838, 71,768.52 and 15,006 is: 22,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,838 : 71,768.52 = 15,006 : x
  2. Step 2: Convert to fraction form
    47,838/71,768.52 = 15,006/x
  3. Step 3: Cross multiply
    47,838x = 71,768.52 × 15,006
  4. Step 4: Simplify right side
    47,838x = 1,076,958,411.12
  5. Step 5: Solve for x
    x = 1,076,958,411.12/47,838
  6. Step 6: Final answer
    x = 22,512.61

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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.