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Finding the Fourth Proportional to 32,714, 49,077.70 and 12,723.02

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Solution

The fourth proportional to 32,714, 49,077.70 and 12,723.02 is: 19,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714 : 49,077.70 = 12,723.02 : x
  2. Step 2: Convert to fraction form
    32,714/49,077.70 = 12,723.02/x
  3. Step 3: Cross multiply
    32,714x = 49,077.70 × 12,723.02
  4. Step 4: Simplify right side
    32,714x = 624,416,558.65
  5. Step 5: Solve for x
    x = 624,416,558.65/32,714
  6. Step 6: Final answer
    x = 19,087.14

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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.