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Finding the Fourth Proportional to 57,785.78, 86,678.70 and 20,849.78

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Solution

The fourth proportional to 57,785.78, 86,678.70 and 20,849.78 is: 31,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.78 : 86,678.70 = 20,849.78 : x
  2. Step 2: Convert to fraction form
    57,785.78/86,678.70 = 20,849.78/x
  3. Step 3: Cross multiply
    57,785.78x = 86,678.70 × 20,849.78
  4. Step 4: Simplify right side
    57,785.78x = 1,807,231,825.69
  5. Step 5: Solve for x
    x = 1,807,231,825.69/57,785.78
  6. Step 6: Final answer
    x = 31,274.68

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1.5x scale

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.