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Finding the Fourth Proportional to 82,039.76, 122,977.44 and 32,050.88

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Solution

The fourth proportional to 82,039.76, 122,977.44 and 32,050.88 is: 48,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,039.76 : 122,977.44 = 32,050.88 : x
  2. Step 2: Convert to fraction form
    82,039.76/122,977.44 = 32,050.88/x
  3. Step 3: Cross multiply
    82,039.76x = 122,977.44 × 32,050.88
  4. Step 4: Simplify right side
    82,039.76x = 3,941,535,172.15
  5. Step 5: Solve for x
    x = 3,941,535,172.15/82,039.76
  6. Step 6: Final answer
    x = 48,044.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.