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Finding the Fourth Proportional to 89,369.34, 123,316.32 and 51,122.81

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Solution

The fourth proportional to 89,369.34, 123,316.32 and 51,122.81 is: 70,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,369.34 : 123,316.32 = 51,122.81 : x
  2. Step 2: Convert to fraction form
    89,369.34/123,316.32 = 51,122.81/x
  3. Step 3: Cross multiply
    89,369.34x = 123,316.32 × 51,122.81
  4. Step 4: Simplify right side
    89,369.34x = 6,304,277,297.26
  5. Step 5: Solve for x
    x = 6,304,277,297.26/89,369.34
  6. Step 6: Final answer
    x = 70,541.83

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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.