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Finding the Fourth Proportional to 32,197, 48,265.26 and 11,409.16

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Solution

The fourth proportional to 32,197, 48,265.26 and 11,409.16 is: 17,103.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197 : 48,265.26 = 11,409.16 : x
  2. Step 2: Convert to fraction form
    32,197/48,265.26 = 11,409.16/x
  3. Step 3: Cross multiply
    32,197x = 48,265.26 × 11,409.16
  4. Step 4: Simplify right side
    32,197x = 550,666,073.78
  5. Step 5: Solve for x
    x = 550,666,073.78/32,197
  6. Step 6: Final answer
    x = 17,103.02

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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.