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Finding the Fourth Proportional to 47,745.60, 71,596.80 and 21,436.80

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Solution

The fourth proportional to 47,745.60, 71,596.80 and 21,436.80 is: 32,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,745.60 : 71,596.80 = 21,436.80 : x
  2. Step 2: Convert to fraction form
    47,745.60/71,596.80 = 21,436.80/x
  3. Step 3: Cross multiply
    47,745.60x = 71,596.80 × 21,436.80
  4. Step 4: Simplify right side
    47,745.60x = 1,534,806,282.24
  5. Step 5: Solve for x
    x = 1,534,806,282.24/47,745.60
  6. Step 6: Final answer
    x = 32,145.50

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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.