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Finding the Fourth Proportional to 50,784.74, 76,206.29 and 39,660.20

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Solution

The fourth proportional to 50,784.74, 76,206.29 and 39,660.20 is: 59,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,784.74 : 76,206.29 = 39,660.20 : x
  2. Step 2: Convert to fraction form
    50,784.74/76,206.29 = 39,660.20/x
  3. Step 3: Cross multiply
    50,784.74x = 76,206.29 × 39,660.20
  4. Step 4: Simplify right side
    50,784.74x = 3,022,356,694.87
  5. Step 5: Solve for x
    x = 3,022,356,694.87/50,784.74
  6. Step 6: Final answer
    x = 59,513.08

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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.