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Finding the Fourth Proportional to 32,245.26, 48,358.17 and 11,467.50

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Solution

The fourth proportional to 32,245.26, 48,358.17 and 11,467.50 is: 17,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,245.26 : 48,358.17 = 11,467.50 : x
  2. Step 2: Convert to fraction form
    32,245.26/48,358.17 = 11,467.50/x
  3. Step 3: Cross multiply
    32,245.26x = 48,358.17 × 11,467.50
  4. Step 4: Simplify right side
    32,245.26x = 554,547,314.48
  5. Step 5: Solve for x
    x = 554,547,314.48/32,245.26
  6. Step 6: Final answer
    x = 17,197.79

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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.