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Finding the Fourth Proportional to 32,309.47, 48,466.49 and 8,616.88

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Solution

The fourth proportional to 32,309.47, 48,466.49 and 8,616.88 is: 12,925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,309.47 : 48,466.49 = 8,616.88 : x
  2. Step 2: Convert to fraction form
    32,309.47/48,466.49 = 8,616.88/x
  3. Step 3: Cross multiply
    32,309.47x = 48,466.49 × 8,616.88
  4. Step 4: Simplify right side
    32,309.47x = 417,629,828.73
  5. Step 5: Solve for x
    x = 417,629,828.73/32,309.47
  6. Step 6: Final answer
    x = 12,925.93

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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.