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Finding the Fourth Proportional to 35,321.32, 52,982.03 and 9,026.09

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Solution

The fourth proportional to 35,321.32, 52,982.03 and 9,026.09 is: 13,539.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,321.32 : 52,982.03 = 9,026.09 : x
  2. Step 2: Convert to fraction form
    35,321.32/52,982.03 = 9,026.09/x
  3. Step 3: Cross multiply
    35,321.32x = 52,982.03 × 9,026.09
  4. Step 4: Simplify right side
    35,321.32x = 478,220,571.16
  5. Step 5: Solve for x
    x = 478,220,571.16/35,321.32
  6. Step 6: Final answer
    x = 13,539.15

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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.