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Finding the Fourth Proportional to 32,117.46, 48,164.22 and 11,051.61

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Solution

The fourth proportional to 32,117.46, 48,164.22 and 11,051.61 is: 16,573.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.46 : 48,164.22 = 11,051.61 : x
  2. Step 2: Convert to fraction form
    32,117.46/48,164.22 = 11,051.61/x
  3. Step 3: Cross multiply
    32,117.46x = 48,164.22 × 11,051.61
  4. Step 4: Simplify right side
    32,117.46x = 532,292,175.39
  5. Step 5: Solve for x
    x = 532,292,175.39/32,117.46
  6. Step 6: Final answer
    x = 16,573.30

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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.