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Finding the Fourth Proportional to 47,582, 71,373 and 14,750

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Solution

The fourth proportional to 47,582, 71,373 and 14,750 is: 22,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,582 : 71,373 = 14,750 : x
  2. Step 2: Convert to fraction form
    47,582/71,373 = 14,750/x
  3. Step 3: Cross multiply
    47,582x = 71,373 × 14,750
  4. Step 4: Simplify right side
    47,582x = 1,052,751,750
  5. Step 5: Solve for x
    x = 1,052,751,750/47,582
  6. Step 6: Final answer
    x = 22,125

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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.