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Finding the Fourth Proportional to 49,847.66, 74,771.48 and 14,787

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Solution

The fourth proportional to 49,847.66, 74,771.48 and 14,787 is: 22,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,847.66 : 74,771.48 = 14,787 : x
  2. Step 2: Convert to fraction form
    49,847.66/74,771.48 = 14,787/x
  3. Step 3: Cross multiply
    49,847.66x = 74,771.48 × 14,787
  4. Step 4: Simplify right side
    49,847.66x = 1,105,645,800.83
  5. Step 5: Solve for x
    x = 1,105,645,800.83/49,847.66
  6. Step 6: Final answer
    x = 22,180.50

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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.