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Finding the Fourth Proportional to 49,167.84, 73,749.86 and 14,107.49

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Solution

The fourth proportional to 49,167.84, 73,749.86 and 14,107.49 is: 21,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,167.84 : 73,749.86 = 14,107.49 : x
  2. Step 2: Convert to fraction form
    49,167.84/73,749.86 = 14,107.49/x
  3. Step 3: Cross multiply
    49,167.84x = 73,749.86 × 14,107.49
  4. Step 4: Simplify right side
    49,167.84x = 1,040,425,412.45
  5. Step 5: Solve for x
    x = 1,040,425,412.45/49,167.84
  6. Step 6: Final answer
    x = 21,160.69

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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.