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Finding the Fourth Proportional to 35,209.53, 52,814.54 and 8,914.35

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Solution

The fourth proportional to 35,209.53, 52,814.54 and 8,914.35 is: 13,371.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,209.53 : 52,814.54 = 8,914.35 : x
  2. Step 2: Convert to fraction form
    35,209.53/52,814.54 = 8,914.35/x
  3. Step 3: Cross multiply
    35,209.53x = 52,814.54 × 8,914.35
  4. Step 4: Simplify right side
    35,209.53x = 470,807,250.08
  5. Step 5: Solve for x
    x = 470,807,250.08/35,209.53
  6. Step 6: Final answer
    x = 13,371.59

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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.