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Finding the Fourth Proportional to 72,069.40, 108,097.60 and 51,099.40

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Solution

The fourth proportional to 72,069.40, 108,097.60 and 51,099.40 is: 76,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,069.40 : 108,097.60 = 51,099.40 : x
  2. Step 2: Convert to fraction form
    72,069.40/108,097.60 = 51,099.40/x
  3. Step 3: Cross multiply
    72,069.40x = 108,097.60 × 51,099.40
  4. Step 4: Simplify right side
    72,069.40x = 5,523,722,501.44
  5. Step 5: Solve for x
    x = 5,523,722,501.44/72,069.40
  6. Step 6: Final answer
    x = 76,644.49

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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.