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Finding the Fourth Proportional to 39,193.36, 54,085.28 and 21,288

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Solution

The fourth proportional to 39,193.36, 54,085.28 and 21,288 is: 29,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,193.36 : 54,085.28 = 21,288 : x
  2. Step 2: Convert to fraction form
    39,193.36/54,085.28 = 21,288/x
  3. Step 3: Cross multiply
    39,193.36x = 54,085.28 × 21,288
  4. Step 4: Simplify right side
    39,193.36x = 1,151,367,440.64
  5. Step 5: Solve for x
    x = 1,151,367,440.64/39,193.36
  6. Step 6: Final answer
    x = 29,376.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.