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Finding the Fourth Proportional to 81,940.48, 122,784.96 and 48,594.88

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Solution

The fourth proportional to 81,940.48, 122,784.96 and 48,594.88 is: 72,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,940.48 : 122,784.96 = 48,594.88 : x
  2. Step 2: Convert to fraction form
    81,940.48/122,784.96 = 48,594.88/x
  3. Step 3: Cross multiply
    81,940.48x = 122,784.96 × 48,594.88
  4. Step 4: Simplify right side
    81,940.48x = 5,966,720,397.00
  5. Step 5: Solve for x
    x = 5,966,720,397.00/81,940.48
  6. Step 6: Final answer
    x = 72,817.74

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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.