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Finding the Fourth Proportional to 89,767.23, 123,958.53 and 55,833.90

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Solution

The fourth proportional to 89,767.23, 123,958.53 and 55,833.90 is: 77,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,767.23 : 123,958.53 = 55,833.90 : x
  2. Step 2: Convert to fraction form
    89,767.23/123,958.53 = 55,833.90/x
  3. Step 3: Cross multiply
    89,767.23x = 123,958.53 × 55,833.90
  4. Step 4: Simplify right side
    89,767.23x = 6,921,088,168.17
  5. Step 5: Solve for x
    x = 6,921,088,168.17/89,767.23
  6. Step 6: Final answer
    x = 77,100.39

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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.