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Finding the Fourth Proportional to 77,705.73, 107,234.33 and 45,890.33

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Solution

The fourth proportional to 77,705.73, 107,234.33 and 45,890.33 is: 63,328.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705.73 : 107,234.33 = 45,890.33 : x
  2. Step 2: Convert to fraction form
    77,705.73/107,234.33 = 45,890.33/x
  3. Step 3: Cross multiply
    77,705.73x = 107,234.33 × 45,890.33
  4. Step 4: Simplify right side
    77,705.73x = 4,921,018,025.41
  5. Step 5: Solve for x
    x = 4,921,018,025.41/77,705.73
  6. Step 6: Final answer
    x = 63,328.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.