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Finding the Fourth Proportional to 47,833, 71,761.02 and 15,001

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Solution

The fourth proportional to 47,833, 71,761.02 and 15,001 is: 22,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833 : 71,761.02 = 15,001 : x
  2. Step 2: Convert to fraction form
    47,833/71,761.02 = 15,001/x
  3. Step 3: Cross multiply
    47,833x = 71,761.02 × 15,001
  4. Step 4: Simplify right side
    47,833x = 1,076,487,061.02
  5. Step 5: Solve for x
    x = 1,076,487,061.02/47,833
  6. Step 6: Final answer
    x = 22,505.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.