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Finding the Fourth Proportional to 41,284, 56,984.88 and 26,380

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Solution

The fourth proportional to 41,284, 56,984.88 and 26,380 is: 36,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,284 : 56,984.88 = 26,380 : x
  2. Step 2: Convert to fraction form
    41,284/56,984.88 = 26,380/x
  3. Step 3: Cross multiply
    41,284x = 56,984.88 × 26,380
  4. Step 4: Simplify right side
    41,284x = 1,503,261,134.40
  5. Step 5: Solve for x
    x = 1,503,261,134.40/41,284
  6. Step 6: Final answer
    x = 36,412.68

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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.