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Finding the Fourth Proportional to 46,969.97, 64,821.20 and 27,861.08

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Solution

The fourth proportional to 46,969.97, 64,821.20 and 27,861.08 is: 38,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,969.97 : 64,821.20 = 27,861.08 : x
  2. Step 2: Convert to fraction form
    46,969.97/64,821.20 = 27,861.08/x
  3. Step 3: Cross multiply
    46,969.97x = 64,821.20 × 27,861.08
  4. Step 4: Simplify right side
    46,969.97x = 1,805,988,175.48
  5. Step 5: Solve for x
    x = 1,805,988,175.48/46,969.97
  6. Step 6: Final answer
    x = 38,449.85

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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.