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Finding the Fourth Proportional to 49,890.72, 74,777.76 and 27,698.88

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Solution

The fourth proportional to 49,890.72, 74,777.76 and 27,698.88 is: 41,515.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,890.72 : 74,777.76 = 27,698.88 : x
  2. Step 2: Convert to fraction form
    49,890.72/74,777.76 = 27,698.88/x
  3. Step 3: Cross multiply
    49,890.72x = 74,777.76 × 27,698.88
  4. Step 4: Simplify right side
    49,890.72x = 2,071,260,200.91
  5. Step 5: Solve for x
    x = 2,071,260,200.91/49,890.72
  6. Step 6: Final answer
    x = 41,515.94

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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.