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Finding the Fourth Proportional to 33,461.40, 46,234.08 and 32,264

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Solution

The fourth proportional to 33,461.40, 46,234.08 and 32,264 is: 44,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,461.40 : 46,234.08 = 32,264 : x
  2. Step 2: Convert to fraction form
    33,461.40/46,234.08 = 32,264/x
  3. Step 3: Cross multiply
    33,461.40x = 46,234.08 × 32,264
  4. Step 4: Simplify right side
    33,461.40x = 1,491,696,357.12
  5. Step 5: Solve for x
    x = 1,491,696,357.12/33,461.40
  6. Step 6: Final answer
    x = 44,579.62

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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.