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Finding the Fourth Proportional to 55,193.50, 76,167.03 and 30,043

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Solution

The fourth proportional to 55,193.50, 76,167.03 and 30,043 is: 41,459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,193.50 : 76,167.03 = 30,043 : x
  2. Step 2: Convert to fraction form
    55,193.50/76,167.03 = 30,043/x
  3. Step 3: Cross multiply
    55,193.50x = 76,167.03 × 30,043
  4. Step 4: Simplify right side
    55,193.50x = 2,288,286,082.29
  5. Step 5: Solve for x
    x = 2,288,286,082.29/55,193.50
  6. Step 6: Final answer
    x = 41,459.34

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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.