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Finding the Fourth Proportional to 47,220.78, 65,165.13 and 26,000.82

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Solution

The fourth proportional to 47,220.78, 65,165.13 and 26,000.82 is: 35,881.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220.78 : 65,165.13 = 26,000.82 : x
  2. Step 2: Convert to fraction form
    47,220.78/65,165.13 = 26,000.82/x
  3. Step 3: Cross multiply
    47,220.78x = 65,165.13 × 26,000.82
  4. Step 4: Simplify right side
    47,220.78x = 1,694,346,815.41
  5. Step 5: Solve for x
    x = 1,694,346,815.41/47,220.78
  6. Step 6: Final answer
    x = 35,881.38

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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.