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Finding the Fourth Proportional to 51,829.60, 77,744.40 and 16,794.40

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Solution

The fourth proportional to 51,829.60, 77,744.40 and 16,794.40 is: 25,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829.60 : 77,744.40 = 16,794.40 : x
  2. Step 2: Convert to fraction form
    51,829.60/77,744.40 = 16,794.40/x
  3. Step 3: Cross multiply
    51,829.60x = 77,744.40 × 16,794.40
  4. Step 4: Simplify right side
    51,829.60x = 1,305,670,551.36
  5. Step 5: Solve for x
    x = 1,305,670,551.36/51,829.60
  6. Step 6: Final answer
    x = 25,191.60

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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.