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Finding the Fourth Proportional to 47,755.70, 65,875.41 and 29,819.57

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Solution

The fourth proportional to 47,755.70, 65,875.41 and 29,819.57 is: 41,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,755.70 : 65,875.41 = 29,819.57 : x
  2. Step 2: Convert to fraction form
    47,755.70/65,875.41 = 29,819.57/x
  3. Step 3: Cross multiply
    47,755.70x = 65,875.41 × 29,819.57
  4. Step 4: Simplify right side
    47,755.70x = 1,964,376,070.40
  5. Step 5: Solve for x
    x = 1,964,376,070.40/47,755.70
  6. Step 6: Final answer
    x = 41,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.