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Finding the Fourth Proportional to 30,648.60, 45,993.42 and 13,122.72

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Solution

The fourth proportional to 30,648.60, 45,993.42 and 13,122.72 is: 19,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.60 : 45,993.42 = 13,122.72 : x
  2. Step 2: Convert to fraction form
    30,648.60/45,993.42 = 13,122.72/x
  3. Step 3: Cross multiply
    30,648.60x = 45,993.42 × 13,122.72
  4. Step 4: Simplify right side
    30,648.60x = 603,558,772.50
  5. Step 5: Solve for x
    x = 603,558,772.50/30,648.60
  6. Step 6: Final answer
    x = 19,692.87

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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.