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Finding the Fourth Proportional to 39,696.46, 59,549.97 and 20,977.24

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Solution

The fourth proportional to 39,696.46, 59,549.97 and 20,977.24 is: 31,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,696.46 : 59,549.97 = 20,977.24 : x
  2. Step 2: Convert to fraction form
    39,696.46/59,549.97 = 20,977.24/x
  3. Step 3: Cross multiply
    39,696.46x = 59,549.97 × 20,977.24
  4. Step 4: Simplify right side
    39,696.46x = 1,249,194,012.68
  5. Step 5: Solve for x
    x = 1,249,194,012.68/39,696.46
  6. Step 6: Final answer
    x = 31,468.65

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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.