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Finding the Fourth Proportional to 32,175.69, 48,269.58 and 12,191.16

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Solution

The fourth proportional to 32,175.69, 48,269.58 and 12,191.16 is: 18,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.69 : 48,269.58 = 12,191.16 : x
  2. Step 2: Convert to fraction form
    32,175.69/48,269.58 = 12,191.16/x
  3. Step 3: Cross multiply
    32,175.69x = 48,269.58 × 12,191.16
  4. Step 4: Simplify right side
    32,175.69x = 588,462,172.91
  5. Step 5: Solve for x
    x = 588,462,172.91/32,175.69
  6. Step 6: Final answer
    x = 18,289.03

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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.