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Finding the Fourth Proportional to 35,800.50, 53,725.50 and 12,426.96

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Solution

The fourth proportional to 35,800.50, 53,725.50 and 12,426.96 is: 18,649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,800.50 : 53,725.50 = 12,426.96 : x
  2. Step 2: Convert to fraction form
    35,800.50/53,725.50 = 12,426.96/x
  3. Step 3: Cross multiply
    35,800.50x = 53,725.50 × 12,426.96
  4. Step 4: Simplify right side
    35,800.50x = 667,644,639.48
  5. Step 5: Solve for x
    x = 667,644,639.48/35,800.50
  6. Step 6: Final answer
    x = 18,649.03

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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.