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Finding the Fourth Proportional to 29,200.20, 43,807.26 and 9,478.80

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Solution

The fourth proportional to 29,200.20, 43,807.26 and 9,478.80 is: 14,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,200.20 : 43,807.26 = 9,478.80 : x
  2. Step 2: Convert to fraction form
    29,200.20/43,807.26 = 9,478.80/x
  3. Step 3: Cross multiply
    29,200.20x = 43,807.26 × 9,478.80
  4. Step 4: Simplify right side
    29,200.20x = 415,240,256.09
  5. Step 5: Solve for x
    x = 415,240,256.09/29,200.20
  6. Step 6: Final answer
    x = 14,220.46

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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.