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Finding the Fourth Proportional to 32,208.68, 48,307.44 and 8,516.48

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Solution

The fourth proportional to 32,208.68, 48,307.44 and 8,516.48 is: 12,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.68 : 48,307.44 = 8,516.48 : x
  2. Step 2: Convert to fraction form
    32,208.68/48,307.44 = 8,516.48/x
  3. Step 3: Cross multiply
    32,208.68x = 48,307.44 × 8,516.48
  4. Step 4: Simplify right side
    32,208.68x = 411,409,346.61
  5. Step 5: Solve for x
    x = 411,409,346.61/32,208.68
  6. Step 6: Final answer
    x = 12,773.24

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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.