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Finding the Fourth Proportional to 32,765.80, 45,216.78 and 17,861.80

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Solution

The fourth proportional to 32,765.80, 45,216.78 and 17,861.80 is: 24,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765.80 : 45,216.78 = 17,861.80 : x
  2. Step 2: Convert to fraction form
    32,765.80/45,216.78 = 17,861.80/x
  3. Step 3: Cross multiply
    32,765.80x = 45,216.78 × 17,861.80
  4. Step 4: Simplify right side
    32,765.80x = 807,653,081.00
  5. Step 5: Solve for x
    x = 807,653,081.00/32,765.80
  6. Step 6: Final answer
    x = 24,649.27

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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.