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Finding the Fourth Proportional to 35,689.80, 53,469.90 and 21,822.60

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Solution

The fourth proportional to 35,689.80, 53,469.90 and 21,822.60 is: 32,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,689.80 : 53,469.90 = 21,822.60 : x
  2. Step 2: Convert to fraction form
    35,689.80/53,469.90 = 21,822.60/x
  3. Step 3: Cross multiply
    35,689.80x = 53,469.90 × 21,822.60
  4. Step 4: Simplify right side
    35,689.80x = 1,166,852,239.74
  5. Step 5: Solve for x
    x = 1,166,852,239.74/35,689.80
  6. Step 6: Final answer
    x = 32,694.28

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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.