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Finding the Fourth Proportional to 32,588.30, 48,776.34 and 17,760.44

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Solution

The fourth proportional to 32,588.30, 48,776.34 and 17,760.44 is: 26,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.30 : 48,776.34 = 17,760.44 : x
  2. Step 2: Convert to fraction form
    32,588.30/48,776.34 = 17,760.44/x
  3. Step 3: Cross multiply
    32,588.30x = 48,776.34 × 17,760.44
  4. Step 4: Simplify right side
    32,588.30x = 866,289,259.99
  5. Step 5: Solve for x
    x = 866,289,259.99/32,588.30
  6. Step 6: Final answer
    x = 26,582.83

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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.