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Finding the Fourth Proportional to 38,692.46, 58,045.98 and 12,395

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Solution

The fourth proportional to 38,692.46, 58,045.98 and 12,395 is: 18,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,692.46 : 58,045.98 = 12,395 : x
  2. Step 2: Convert to fraction form
    38,692.46/58,045.98 = 12,395/x
  3. Step 3: Cross multiply
    38,692.46x = 58,045.98 × 12,395
  4. Step 4: Simplify right side
    38,692.46x = 719,479,922.10
  5. Step 5: Solve for x
    x = 719,479,922.10/38,692.46
  6. Step 6: Final answer
    x = 18,594.84

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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.