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Finding the Fourth Proportional to 35,682.49, 53,451 and 16,905.61

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Solution

The fourth proportional to 35,682.49, 53,451 and 16,905.61 is: 25,323.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.49 : 53,451 = 16,905.61 : x
  2. Step 2: Convert to fraction form
    35,682.49/53,451 = 16,905.61/x
  3. Step 3: Cross multiply
    35,682.49x = 53,451 × 16,905.61
  4. Step 4: Simplify right side
    35,682.49x = 903,621,760.11
  5. Step 5: Solve for x
    x = 903,621,760.11/35,682.49
  6. Step 6: Final answer
    x = 25,323.95

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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.