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Finding the Fourth Proportional to 55,176.50, 76,143.84 and 30,026

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Solution

The fourth proportional to 55,176.50, 76,143.84 and 30,026 is: 41,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176.50 : 76,143.84 = 30,026 : x
  2. Step 2: Convert to fraction form
    55,176.50/76,143.84 = 30,026/x
  3. Step 3: Cross multiply
    55,176.50x = 76,143.84 × 30,026
  4. Step 4: Simplify right side
    55,176.50x = 2,286,294,939.84
  5. Step 5: Solve for x
    x = 2,286,294,939.84/55,176.50
  6. Step 6: Final answer
    x = 41,436.03

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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.