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Finding the Fourth Proportional to 89,751.96, 123,823.26 and 53,950.68

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Solution

The fourth proportional to 89,751.96, 123,823.26 and 53,950.68 is: 74,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,751.96 : 123,823.26 = 53,950.68 : x
  2. Step 2: Convert to fraction form
    89,751.96/123,823.26 = 53,950.68/x
  3. Step 3: Cross multiply
    89,751.96x = 123,823.26 × 53,950.68
  4. Step 4: Simplify right side
    89,751.96x = 6,680,349,076.82
  5. Step 5: Solve for x
    x = 6,680,349,076.82/89,751.96
  6. Step 6: Final answer
    x = 74,431.23

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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.