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Finding the Fourth Proportional to 55,274.64, 76,257.34 and 34,017

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Solution

The fourth proportional to 55,274.64, 76,257.34 and 34,017 is: 46,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274.64 : 76,257.34 = 34,017 : x
  2. Step 2: Convert to fraction form
    55,274.64/76,257.34 = 34,017/x
  3. Step 3: Cross multiply
    55,274.64x = 76,257.34 × 34,017
  4. Step 4: Simplify right side
    55,274.64x = 2,594,045,934.78
  5. Step 5: Solve for x
    x = 2,594,045,934.78/55,274.64
  6. Step 6: Final answer
    x = 46,930.13

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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.