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Finding the Fourth Proportional to 49,709.16, 74,423.80 and 37,287

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Solution

The fourth proportional to 49,709.16, 74,423.80 and 37,287 is: 55,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,709.16 : 74,423.80 = 37,287 : x
  2. Step 2: Convert to fraction form
    49,709.16/74,423.80 = 37,287/x
  3. Step 3: Cross multiply
    49,709.16x = 74,423.80 × 37,287
  4. Step 4: Simplify right side
    49,709.16x = 2,775,040,230.60
  5. Step 5: Solve for x
    x = 2,775,040,230.60/49,709.16
  6. Step 6: Final answer
    x = 55,825.53

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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.