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Finding the Fourth Proportional to 35,205.30, 52,809.75 and 8,910.27

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Solution

The fourth proportional to 35,205.30, 52,809.75 and 8,910.27 is: 13,365.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,205.30 : 52,809.75 = 8,910.27 : x
  2. Step 2: Convert to fraction form
    35,205.30/52,809.75 = 8,910.27/x
  3. Step 3: Cross multiply
    35,205.30x = 52,809.75 × 8,910.27
  4. Step 4: Simplify right side
    35,205.30x = 470,549,131.13
  5. Step 5: Solve for x
    x = 470,549,131.13/35,205.30
  6. Step 6: Final answer
    x = 13,365.86

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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.