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Finding the Fourth Proportional to 55,903.94, 83,856.49 and 16,461.80

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Solution

The fourth proportional to 55,903.94, 83,856.49 and 16,461.80 is: 24,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,903.94 : 83,856.49 = 16,461.80 : x
  2. Step 2: Convert to fraction form
    55,903.94/83,856.49 = 16,461.80/x
  3. Step 3: Cross multiply
    55,903.94x = 83,856.49 × 16,461.80
  4. Step 4: Simplify right side
    55,903.94x = 1,380,428,767.08
  5. Step 5: Solve for x
    x = 1,380,428,767.08/55,903.94
  6. Step 6: Final answer
    x = 24,692.87

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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.