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Finding the Fourth Proportional to 33,765, 46,595.70 and 18,861

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Solution

The fourth proportional to 33,765, 46,595.70 and 18,861 is: 26,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,765 : 46,595.70 = 18,861 : x
  2. Step 2: Convert to fraction form
    33,765/46,595.70 = 18,861/x
  3. Step 3: Cross multiply
    33,765x = 46,595.70 × 18,861
  4. Step 4: Simplify right side
    33,765x = 878,841,497.70
  5. Step 5: Solve for x
    x = 878,841,497.70/33,765
  6. Step 6: Final answer
    x = 26,028.18

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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.