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Finding the Fourth Proportional to 34,221.60, 51,409.20 and 23,853.60

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Solution

The fourth proportional to 34,221.60, 51,409.20 and 23,853.60 is: 35,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,221.60 : 51,409.20 = 23,853.60 : x
  2. Step 2: Convert to fraction form
    34,221.60/51,409.20 = 23,853.60/x
  3. Step 3: Cross multiply
    34,221.60x = 51,409.20 × 23,853.60
  4. Step 4: Simplify right side
    34,221.60x = 1,226,294,493.12
  5. Step 5: Solve for x
    x = 1,226,294,493.12/34,221.60
  6. Step 6: Final answer
    x = 35,833.93

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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.