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Finding the Fourth Proportional to 82,051.20, 123,076.80 and 32,114.70

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Solution

The fourth proportional to 82,051.20, 123,076.80 and 32,114.70 is: 48,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.20 : 123,076.80 = 32,114.70 : x
  2. Step 2: Convert to fraction form
    82,051.20/123,076.80 = 32,114.70/x
  3. Step 3: Cross multiply
    82,051.20x = 123,076.80 × 32,114.70
  4. Step 4: Simplify right side
    82,051.20x = 3,952,574,508.96
  5. Step 5: Solve for x
    x = 3,952,574,508.96/82,051.20
  6. Step 6: Final answer
    x = 48,172.05

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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.