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Finding the Fourth Proportional to 49,783.84, 74,676.36 and 14,724.20

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Solution

The fourth proportional to 49,783.84, 74,676.36 and 14,724.20 is: 22,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,783.84 : 74,676.36 = 14,724.20 : x
  2. Step 2: Convert to fraction form
    49,783.84/74,676.36 = 14,724.20/x
  3. Step 3: Cross multiply
    49,783.84x = 74,676.36 × 14,724.20
  4. Step 4: Simplify right side
    49,783.84x = 1,099,549,659.91
  5. Step 5: Solve for x
    x = 1,099,549,659.91/49,783.84
  6. Step 6: Final answer
    x = 22,086.48

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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.