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Finding the Fourth Proportional to 72,841.20, 109,265.40 and 37,849.20

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Solution

The fourth proportional to 72,841.20, 109,265.40 and 37,849.20 is: 56,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,841.20 : 109,265.40 = 37,849.20 : x
  2. Step 2: Convert to fraction form
    72,841.20/109,265.40 = 37,849.20/x
  3. Step 3: Cross multiply
    72,841.20x = 109,265.40 × 37,849.20
  4. Step 4: Simplify right side
    72,841.20x = 4,135,607,977.68
  5. Step 5: Solve for x
    x = 4,135,607,977.68/72,841.20
  6. Step 6: Final answer
    x = 56,775.67

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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.