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Finding the Fourth Proportional to 51,819.78, 77,325.51 and 46,234.73

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Solution

The fourth proportional to 51,819.78, 77,325.51 and 46,234.73 is: 68,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,819.78 : 77,325.51 = 46,234.73 : x
  2. Step 2: Convert to fraction form
    51,819.78/77,325.51 = 46,234.73/x
  3. Step 3: Cross multiply
    51,819.78x = 77,325.51 × 46,234.73
  4. Step 4: Simplify right side
    51,819.78x = 3,575,123,459.16
  5. Step 5: Solve for x
    x = 3,575,123,459.16/51,819.78
  6. Step 6: Final answer
    x = 68,991.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.