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Finding the Fourth Proportional to 35,780.08, 53,680.80 and 17,083.84

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Solution

The fourth proportional to 35,780.08, 53,680.80 and 17,083.84 is: 25,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,780.08 : 53,680.80 = 17,083.84 : x
  2. Step 2: Convert to fraction form
    35,780.08/53,680.80 = 17,083.84/x
  3. Step 3: Cross multiply
    35,780.08x = 53,680.80 × 17,083.84
  4. Step 4: Simplify right side
    35,780.08x = 917,074,198.27
  5. Step 5: Solve for x
    x = 917,074,198.27/35,780.08
  6. Step 6: Final answer
    x = 25,630.86

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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.