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Finding the Fourth Proportional to 71,983.04, 107,753.04 and 46,969.28

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Solution

The fourth proportional to 71,983.04, 107,753.04 and 46,969.28 is: 70,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,983.04 : 107,753.04 = 46,969.28 : x
  2. Step 2: Convert to fraction form
    71,983.04/107,753.04 = 46,969.28/x
  3. Step 3: Cross multiply
    71,983.04x = 107,753.04 × 46,969.28
  4. Step 4: Simplify right side
    71,983.04x = 5,061,082,706.61
  5. Step 5: Solve for x
    x = 5,061,082,706.61/71,983.04
  6. Step 6: Final answer
    x = 70,309.38

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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.