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Finding the Fourth Proportional to 35,692.27, 53,480 and 21,609.62

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Solution

The fourth proportional to 35,692.27, 53,480 and 21,609.62 is: 32,379.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,692.27 : 53,480 = 21,609.62 : x
  2. Step 2: Convert to fraction form
    35,692.27/53,480 = 21,609.62/x
  3. Step 3: Cross multiply
    35,692.27x = 53,480 × 21,609.62
  4. Step 4: Simplify right side
    35,692.27x = 1,155,682,477.60
  5. Step 5: Solve for x
    x = 1,155,682,477.60/35,692.27
  6. Step 6: Final answer
    x = 32,379.07

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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.