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Finding the Fourth Proportional to 89,253.84, 123,174 and 51,019.68

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Solution

The fourth proportional to 89,253.84, 123,174 and 51,019.68 is: 70,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,253.84 : 123,174 = 51,019.68 : x
  2. Step 2: Convert to fraction form
    89,253.84/123,174 = 51,019.68/x
  3. Step 3: Cross multiply
    89,253.84x = 123,174 × 51,019.68
  4. Step 4: Simplify right side
    89,253.84x = 6,284,298,064.32
  5. Step 5: Solve for x
    x = 6,284,298,064.32/89,253.84
  6. Step 6: Final answer
    x = 70,409.27

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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.