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Finding the Fourth Proportional to 36,576.76, 54,865.38 and 10,282

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Solution

The fourth proportional to 36,576.76, 54,865.38 and 10,282 is: 15,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576.76 : 54,865.38 = 10,282 : x
  2. Step 2: Convert to fraction form
    36,576.76/54,865.38 = 10,282/x
  3. Step 3: Cross multiply
    36,576.76x = 54,865.38 × 10,282
  4. Step 4: Simplify right side
    36,576.76x = 564,125,837.16
  5. Step 5: Solve for x
    x = 564,125,837.16/36,576.76
  6. Step 6: Final answer
    x = 15,423.07

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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.