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Finding the Fourth Proportional to 37,184.80, 51,280.74 and 25,265.92

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Solution

The fourth proportional to 37,184.80, 51,280.74 and 25,265.92 is: 34,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,184.80 : 51,280.74 = 25,265.92 : x
  2. Step 2: Convert to fraction form
    37,184.80/51,280.74 = 25,265.92/x
  3. Step 3: Cross multiply
    37,184.80x = 51,280.74 × 25,265.92
  4. Step 4: Simplify right side
    37,184.80x = 1,295,655,074.38
  5. Step 5: Solve for x
    x = 1,295,655,074.38/37,184.80
  6. Step 6: Final answer
    x = 34,843.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.