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Finding the Fourth Proportional to 55,461.96, 83,178 and 25,850.88

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Solution

The fourth proportional to 55,461.96, 83,178 and 25,850.88 is: 38,769.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461.96 : 83,178 = 25,850.88 : x
  2. Step 2: Convert to fraction form
    55,461.96/83,178 = 25,850.88/x
  3. Step 3: Cross multiply
    55,461.96x = 83,178 × 25,850.88
  4. Step 4: Simplify right side
    55,461.96x = 2,150,224,496.64
  5. Step 5: Solve for x
    x = 2,150,224,496.64/55,461.96
  6. Step 6: Final answer
    x = 38,769.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.