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Finding the Fourth Proportional to 71,069, 106,604.04 and 24,322.28

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Solution

The fourth proportional to 71,069, 106,604.04 and 24,322.28 is: 36,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069 : 106,604.04 = 24,322.28 : x
  2. Step 2: Convert to fraction form
    71,069/106,604.04 = 24,322.28/x
  3. Step 3: Cross multiply
    71,069x = 106,604.04 × 24,322.28
  4. Step 4: Simplify right side
    71,069x = 2,592,853,310.01
  5. Step 5: Solve for x
    x = 2,592,853,310.01/71,069
  6. Step 6: Final answer
    x = 36,483.60

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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.