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Finding the Fourth Proportional to 76,894.63, 106,167.06 and 49,736.55

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Solution

The fourth proportional to 76,894.63, 106,167.06 and 49,736.55 is: 68,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,894.63 : 106,167.06 = 49,736.55 : x
  2. Step 2: Convert to fraction form
    76,894.63/106,167.06 = 49,736.55/x
  3. Step 3: Cross multiply
    76,894.63x = 106,167.06 × 49,736.55
  4. Step 4: Simplify right side
    76,894.63x = 5,280,383,228.86
  5. Step 5: Solve for x
    x = 5,280,383,228.86/76,894.63
  6. Step 6: Final answer
    x = 68,670.37

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1.5x scale

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.