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Finding the Fourth Proportional to 72,097.20, 108,145.74 and 52,500.42

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Solution

The fourth proportional to 72,097.20, 108,145.74 and 52,500.42 is: 78,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,097.20 : 108,145.74 = 52,500.42 : x
  2. Step 2: Convert to fraction form
    72,097.20/108,145.74 = 52,500.42/x
  3. Step 3: Cross multiply
    72,097.20x = 108,145.74 × 52,500.42
  4. Step 4: Simplify right side
    72,097.20x = 5,677,696,771.21
  5. Step 5: Solve for x
    x = 5,677,696,771.21/72,097.20
  6. Step 6: Final answer
    x = 78,750.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.