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Finding the Fourth Proportional to 58,408.84, 80,576.10 and 38,257

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Solution

The fourth proportional to 58,408.84, 80,576.10 and 38,257 is: 52,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,408.84 : 80,576.10 = 38,257 : x
  2. Step 2: Convert to fraction form
    58,408.84/80,576.10 = 38,257/x
  3. Step 3: Cross multiply
    58,408.84x = 80,576.10 × 38,257
  4. Step 4: Simplify right side
    58,408.84x = 3,082,599,857.70
  5. Step 5: Solve for x
    x = 3,082,599,857.70/58,408.84
  6. Step 6: Final answer
    x = 52,776.26

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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.