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Finding the Fourth Proportional to 32,507.70, 48,768.36 and 18,474.24

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Solution

The fourth proportional to 32,507.70, 48,768.36 and 18,474.24 is: 27,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507.70 : 48,768.36 = 18,474.24 : x
  2. Step 2: Convert to fraction form
    32,507.70/48,768.36 = 18,474.24/x
  3. Step 3: Cross multiply
    32,507.70x = 48,768.36 × 18,474.24
  4. Step 4: Simplify right side
    32,507.70x = 900,958,387.05
  5. Step 5: Solve for x
    x = 900,958,387.05/32,507.70
  6. Step 6: Final answer
    x = 27,715.23

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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.