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Finding the Fourth Proportional to 32,115.46, 48,168.94 and 14,581.26

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Solution

The fourth proportional to 32,115.46, 48,168.94 and 14,581.26 is: 21,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.46 : 48,168.94 = 14,581.26 : x
  2. Step 2: Convert to fraction form
    32,115.46/48,168.94 = 14,581.26/x
  3. Step 3: Cross multiply
    32,115.46x = 48,168.94 × 14,581.26
  4. Step 4: Simplify right side
    32,115.46x = 702,363,838.06
  5. Step 5: Solve for x
    x = 702,363,838.06/32,115.46
  6. Step 6: Final answer
    x = 21,869.96

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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.