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Finding the Fourth Proportional to 32,162.28, 48,250.35 and 9,975.21

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Solution

The fourth proportional to 32,162.28, 48,250.35 and 9,975.21 is: 14,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,162.28 : 48,250.35 = 9,975.21 : x
  2. Step 2: Convert to fraction form
    32,162.28/48,250.35 = 9,975.21/x
  3. Step 3: Cross multiply
    32,162.28x = 48,250.35 × 9,975.21
  4. Step 4: Simplify right side
    32,162.28x = 481,307,373.82
  5. Step 5: Solve for x
    x = 481,307,373.82/32,162.28
  6. Step 6: Final answer
    x = 14,964.96

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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.