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Finding the Fourth Proportional to 52,043.60, 78,046.20 and 16,984.40

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Solution

The fourth proportional to 52,043.60, 78,046.20 and 16,984.40 is: 25,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043.60 : 78,046.20 = 16,984.40 : x
  2. Step 2: Convert to fraction form
    52,043.60/78,046.20 = 16,984.40/x
  3. Step 3: Cross multiply
    52,043.60x = 78,046.20 × 16,984.40
  4. Step 4: Simplify right side
    52,043.60x = 1,325,567,879.28
  5. Step 5: Solve for x
    x = 1,325,567,879.28/52,043.60
  6. Step 6: Final answer
    x = 25,470.33

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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.