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Finding the Fourth Proportional to 32,566.86, 48,855.15 and 11,785.50

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Solution

The fourth proportional to 32,566.86, 48,855.15 and 11,785.50 is: 17,680.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,566.86 : 48,855.15 = 11,785.50 : x
  2. Step 2: Convert to fraction form
    32,566.86/48,855.15 = 11,785.50/x
  3. Step 3: Cross multiply
    32,566.86x = 48,855.15 × 11,785.50
  4. Step 4: Simplify right side
    32,566.86x = 575,782,370.33
  5. Step 5: Solve for x
    x = 575,782,370.33/32,566.86
  6. Step 6: Final answer
    x = 17,680.01

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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.