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Finding the Fourth Proportional to 71,909.49, 99,235.56 and 40,080.41

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Solution

The fourth proportional to 71,909.49, 99,235.56 and 40,080.41 is: 55,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,909.49 : 99,235.56 = 40,080.41 : x
  2. Step 2: Convert to fraction form
    71,909.49/99,235.56 = 40,080.41/x
  3. Step 3: Cross multiply
    71,909.49x = 99,235.56 × 40,080.41
  4. Step 4: Simplify right side
    71,909.49x = 3,977,401,931.38
  5. Step 5: Solve for x
    x = 3,977,401,931.38/71,909.49
  6. Step 6: Final answer
    x = 55,311.22

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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.