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Finding the Fourth Proportional to 32,871.60, 49,310.13 and 14,152.09

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Solution

The fourth proportional to 32,871.60, 49,310.13 and 14,152.09 is: 21,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,871.60 : 49,310.13 = 14,152.09 : x
  2. Step 2: Convert to fraction form
    32,871.60/49,310.13 = 14,152.09/x
  3. Step 3: Cross multiply
    32,871.60x = 49,310.13 × 14,152.09
  4. Step 4: Simplify right side
    32,871.60x = 697,841,397.67
  5. Step 5: Solve for x
    x = 697,841,397.67/32,871.60
  6. Step 6: Final answer
    x = 21,229.31

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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.