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Finding the Fourth Proportional to 47,302.24, 65,223.12 and 35,345.44

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Solution

The fourth proportional to 47,302.24, 65,223.12 and 35,345.44 is: 48,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,302.24 : 65,223.12 = 35,345.44 : x
  2. Step 2: Convert to fraction form
    47,302.24/65,223.12 = 35,345.44/x
  3. Step 3: Cross multiply
    47,302.24x = 65,223.12 × 35,345.44
  4. Step 4: Simplify right side
    47,302.24x = 2,305,339,874.57
  5. Step 5: Solve for x
    x = 2,305,339,874.57/47,302.24
  6. Step 6: Final answer
    x = 48,736.38

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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.