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Finding the Fourth Proportional to 89,450.38, 123,431.61 and 53,641.90

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Solution

The fourth proportional to 89,450.38, 123,431.61 and 53,641.90 is: 74,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,450.38 : 123,431.61 = 53,641.90 : x
  2. Step 2: Convert to fraction form
    89,450.38/123,431.61 = 53,641.90/x
  3. Step 3: Cross multiply
    89,450.38x = 123,431.61 × 53,641.90
  4. Step 4: Simplify right side
    89,450.38x = 6,621,106,080.46
  5. Step 5: Solve for x
    x = 6,621,106,080.46/89,450.38
  6. Step 6: Final answer
    x = 74,019.88

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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.