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Finding the Fourth Proportional to 32,780.56, 49,083.36 and 17,165.36

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Solution

The fourth proportional to 32,780.56, 49,083.36 and 17,165.36 is: 25,702.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.56 : 49,083.36 = 17,165.36 : x
  2. Step 2: Convert to fraction form
    32,780.56/49,083.36 = 17,165.36/x
  3. Step 3: Cross multiply
    32,780.56x = 49,083.36 × 17,165.36
  4. Step 4: Simplify right side
    32,780.56x = 842,533,544.41
  5. Step 5: Solve for x
    x = 842,533,544.41/32,780.56
  6. Step 6: Final answer
    x = 25,702.23

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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.