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Finding the Fourth Proportional to 47,250, 65,205 and 26,029.26

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Solution

The fourth proportional to 47,250, 65,205 and 26,029.26 is: 35,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,250 : 65,205 = 26,029.26 : x
  2. Step 2: Convert to fraction form
    47,250/65,205 = 26,029.26/x
  3. Step 3: Cross multiply
    47,250x = 65,205 × 26,029.26
  4. Step 4: Simplify right side
    47,250x = 1,697,237,898.30
  5. Step 5: Solve for x
    x = 1,697,237,898.30/47,250
  6. Step 6: Final answer
    x = 35,920.38

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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.