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Finding the Fourth Proportional to 116,455.20, 174,682.80 and 32,215.20

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Solution

The fourth proportional to 116,455.20, 174,682.80 and 32,215.20 is: 48,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,455.20 : 174,682.80 = 32,215.20 : x
  2. Step 2: Convert to fraction form
    116,455.20/174,682.80 = 32,215.20/x
  3. Step 3: Cross multiply
    116,455.20x = 174,682.80 × 32,215.20
  4. Step 4: Simplify right side
    116,455.20x = 5,627,441,338.56
  5. Step 5: Solve for x
    x = 5,627,441,338.56/116,455.20
  6. Step 6: Final answer
    x = 48,322.80

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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.