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Finding the Fourth Proportional to 71,140.72, 106,742.04 and 33,727

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Solution

The fourth proportional to 71,140.72, 106,742.04 and 33,727 is: 50,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.72 : 106,742.04 = 33,727 : x
  2. Step 2: Convert to fraction form
    71,140.72/106,742.04 = 33,727/x
  3. Step 3: Cross multiply
    71,140.72x = 106,742.04 × 33,727
  4. Step 4: Simplify right side
    71,140.72x = 3,600,088,783.08
  5. Step 5: Solve for x
    x = 3,600,088,783.08/71,140.72
  6. Step 6: Final answer
    x = 50,605.18

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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.