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Finding the Fourth Proportional to 89,649, 123,674.09 and 57,828.15

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Solution

The fourth proportional to 89,649, 123,674.09 and 57,828.15 is: 79,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,649 : 123,674.09 = 57,828.15 : x
  2. Step 2: Convert to fraction form
    89,649/123,674.09 = 57,828.15/x
  3. Step 3: Cross multiply
    89,649x = 123,674.09 × 57,828.15
  4. Step 4: Simplify right side
    89,649x = 7,151,843,538.49
  5. Step 5: Solve for x
    x = 7,151,843,538.49/89,649
  6. Step 6: Final answer
    x = 79,776.05

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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.