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Finding the Fourth Proportional to 43,509.60, 65,221.20 and 20,095.20

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Solution

The fourth proportional to 43,509.60, 65,221.20 and 20,095.20 is: 30,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,509.60 : 65,221.20 = 20,095.20 : x
  2. Step 2: Convert to fraction form
    43,509.60/65,221.20 = 20,095.20/x
  3. Step 3: Cross multiply
    43,509.60x = 65,221.20 × 20,095.20
  4. Step 4: Simplify right side
    43,509.60x = 1,310,633,058.24
  5. Step 5: Solve for x
    x = 1,310,633,058.24/43,509.60
  6. Step 6: Final answer
    x = 30,122.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.