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Finding the Fourth Proportional to 55,852.96, 83,753.11 and 20,289.20

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Solution

The fourth proportional to 55,852.96, 83,753.11 and 20,289.20 is: 30,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.96 : 83,753.11 = 20,289.20 : x
  2. Step 2: Convert to fraction form
    55,852.96/83,753.11 = 20,289.20/x
  3. Step 3: Cross multiply
    55,852.96x = 83,753.11 × 20,289.20
  4. Step 4: Simplify right side
    55,852.96x = 1,699,283,599.41
  5. Step 5: Solve for x
    x = 1,699,283,599.41/55,852.96
  6. Step 6: Final answer
    x = 30,424.24

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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.