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Finding the Fourth Proportional to 55,858.23, 77,102.34 and 35,769.24

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Solution

The fourth proportional to 55,858.23, 77,102.34 and 35,769.24 is: 49,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858.23 : 77,102.34 = 35,769.24 : x
  2. Step 2: Convert to fraction form
    55,858.23/77,102.34 = 35,769.24/x
  3. Step 3: Cross multiply
    55,858.23x = 77,102.34 × 35,769.24
  4. Step 4: Simplify right side
    55,858.23x = 2,757,892,104.02
  5. Step 5: Solve for x
    x = 2,757,892,104.02/55,858.23
  6. Step 6: Final answer
    x = 49,373.07

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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.