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Finding the Fourth Proportional to 35,310.20, 52,965.23 and 9,014.94

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Solution

The fourth proportional to 35,310.20, 52,965.23 and 9,014.94 is: 13,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,310.20 : 52,965.23 = 9,014.94 : x
  2. Step 2: Convert to fraction form
    35,310.20/52,965.23 = 9,014.94/x
  3. Step 3: Cross multiply
    35,310.20x = 52,965.23 × 9,014.94
  4. Step 4: Simplify right side
    35,310.20x = 477,478,325.46
  5. Step 5: Solve for x
    x = 477,478,325.46/35,310.20
  6. Step 6: Final answer
    x = 13,522.39

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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.