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Finding the Fourth Proportional to 34,692.38, 47,875.62 and 18,776.84

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Solution

The fourth proportional to 34,692.38, 47,875.62 and 18,776.84 is: 25,912.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,692.38 : 47,875.62 = 18,776.84 : x
  2. Step 2: Convert to fraction form
    34,692.38/47,875.62 = 18,776.84/x
  3. Step 3: Cross multiply
    34,692.38x = 47,875.62 × 18,776.84
  4. Step 4: Simplify right side
    34,692.38x = 898,952,856.64
  5. Step 5: Solve for x
    x = 898,952,856.64/34,692.38
  6. Step 6: Final answer
    x = 25,912.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.