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Finding the Fourth Proportional to 46,663.85, 69,969.80 and 27,696.20

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Solution

The fourth proportional to 46,663.85, 69,969.80 and 27,696.20 is: 41,528.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,663.85 : 69,969.80 = 27,696.20 : x
  2. Step 2: Convert to fraction form
    46,663.85/69,969.80 = 27,696.20/x
  3. Step 3: Cross multiply
    46,663.85x = 69,969.80 × 27,696.20
  4. Step 4: Simplify right side
    46,663.85x = 1,937,897,086.43
  5. Step 5: Solve for x
    x = 1,937,897,086.43/46,663.85
  6. Step 6: Final answer
    x = 41,528.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.