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Finding the Fourth Proportional to 47,476, 65,515.80 and 26,255.44

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Solution

The fourth proportional to 47,476, 65,515.80 and 26,255.44 is: 36,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,476 : 65,515.80 = 26,255.44 : x
  2. Step 2: Convert to fraction form
    47,476/65,515.80 = 26,255.44/x
  3. Step 3: Cross multiply
    47,476x = 65,515.80 × 26,255.44
  4. Step 4: Simplify right side
    47,476x = 1,720,146,155.95
  5. Step 5: Solve for x
    x = 1,720,146,155.95/47,476
  6. Step 6: Final answer
    x = 36,231.91

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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.