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Finding the Fourth Proportional to 62,766, 86,624.76 and 36,270

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Solution

The fourth proportional to 62,766, 86,624.76 and 36,270 is: 50,057.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,766 : 86,624.76 = 36,270 : x
  2. Step 2: Convert to fraction form
    62,766/86,624.76 = 36,270/x
  3. Step 3: Cross multiply
    62,766x = 86,624.76 × 36,270
  4. Step 4: Simplify right side
    62,766x = 3,141,880,045.20
  5. Step 5: Solve for x
    x = 3,141,880,045.20/62,766
  6. Step 6: Final answer
    x = 50,057.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.