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Finding the Fourth Proportional to 89,669.34, 123,744.06 and 51,430.38

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Solution

The fourth proportional to 89,669.34, 123,744.06 and 51,430.38 is: 70,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,669.34 : 123,744.06 = 51,430.38 : x
  2. Step 2: Convert to fraction form
    89,669.34/123,744.06 = 51,430.38/x
  3. Step 3: Cross multiply
    89,669.34x = 123,744.06 × 51,430.38
  4. Step 4: Simplify right side
    89,669.34x = 6,364,204,028.54
  5. Step 5: Solve for x
    x = 6,364,204,028.54/89,669.34
  6. Step 6: Final answer
    x = 70,974.14

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Why These Related Problems?

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