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Finding the Fourth Proportional to 32,345.22, 48,517.82 and 8,971.66

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Solution

The fourth proportional to 32,345.22, 48,517.82 and 8,971.66 is: 13,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,345.22 : 48,517.82 = 8,971.66 : x
  2. Step 2: Convert to fraction form
    32,345.22/48,517.82 = 8,971.66/x
  3. Step 3: Cross multiply
    32,345.22x = 48,517.82 × 8,971.66
  4. Step 4: Simplify right side
    32,345.22x = 435,285,384.98
  5. Step 5: Solve for x
    x = 435,285,384.98/32,345.22
  6. Step 6: Final answer
    x = 13,457.49

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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.