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Finding the Fourth Proportional to 53,586.40, 80,408.40 and 22,424.80

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Solution

The fourth proportional to 53,586.40, 80,408.40 and 22,424.80 is: 33,649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586.40 : 80,408.40 = 22,424.80 : x
  2. Step 2: Convert to fraction form
    53,586.40/80,408.40 = 22,424.80/x
  3. Step 3: Cross multiply
    53,586.40x = 80,408.40 × 22,424.80
  4. Step 4: Simplify right side
    53,586.40x = 1,803,142,288.32
  5. Step 5: Solve for x
    x = 1,803,142,288.32/53,586.40
  6. Step 6: Final answer
    x = 33,649.25

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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.