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Finding the Fourth Proportional to 32,457.61, 48,680.83 and 9,078.49

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Solution

The fourth proportional to 32,457.61, 48,680.83 and 9,078.49 is: 13,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457.61 : 48,680.83 = 9,078.49 : x
  2. Step 2: Convert to fraction form
    32,457.61/48,680.83 = 9,078.49/x
  3. Step 3: Cross multiply
    32,457.61x = 48,680.83 × 9,078.49
  4. Step 4: Simplify right side
    32,457.61x = 441,948,428.35
  5. Step 5: Solve for x
    x = 441,948,428.35/32,457.61
  6. Step 6: Final answer
    x = 13,616.17

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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.