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Finding the Fourth Proportional to 82,873.60, 124,310.40 and 51,380.80

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Solution

The fourth proportional to 82,873.60, 124,310.40 and 51,380.80 is: 77,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,873.60 : 124,310.40 = 51,380.80 : x
  2. Step 2: Convert to fraction form
    82,873.60/124,310.40 = 51,380.80/x
  3. Step 3: Cross multiply
    82,873.60x = 124,310.40 × 51,380.80
  4. Step 4: Simplify right side
    82,873.60x = 6,387,167,800.32
  5. Step 5: Solve for x
    x = 6,387,167,800.32/82,873.60
  6. Step 6: Final answer
    x = 77,071.20

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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.