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Finding the Fourth Proportional to 32,580.70, 48,871.96 and 11,517.76

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Solution

The fourth proportional to 32,580.70, 48,871.96 and 11,517.76 is: 17,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.70 : 48,871.96 = 11,517.76 : x
  2. Step 2: Convert to fraction form
    32,580.70/48,871.96 = 11,517.76/x
  3. Step 3: Cross multiply
    32,580.70x = 48,871.96 × 11,517.76
  4. Step 4: Simplify right side
    32,580.70x = 562,895,506.01
  5. Step 5: Solve for x
    x = 562,895,506.01/32,580.70
  6. Step 6: Final answer
    x = 17,276.96

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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.