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Finding the Fourth Proportional to 35,808.84, 53,687.70 and 16,822.88

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Solution

The fourth proportional to 35,808.84, 53,687.70 and 16,822.88 is: 25,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,808.84 : 53,687.70 = 16,822.88 : x
  2. Step 2: Convert to fraction form
    35,808.84/53,687.70 = 16,822.88/x
  3. Step 3: Cross multiply
    35,808.84x = 53,687.70 × 16,822.88
  4. Step 4: Simplify right side
    35,808.84x = 903,181,734.58
  5. Step 5: Solve for x
    x = 903,181,734.58/35,808.84
  6. Step 6: Final answer
    x = 25,222.31

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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.