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Finding the Fourth Proportional to 32,596.44, 48,894.26 and 10,409.54

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Solution

The fourth proportional to 32,596.44, 48,894.26 and 10,409.54 is: 15,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,596.44 : 48,894.26 = 10,409.54 : x
  2. Step 2: Convert to fraction form
    32,596.44/48,894.26 = 10,409.54/x
  3. Step 3: Cross multiply
    32,596.44x = 48,894.26 × 10,409.54
  4. Step 4: Simplify right side
    32,596.44x = 508,966,755.24
  5. Step 5: Solve for x
    x = 508,966,755.24/32,596.44
  6. Step 6: Final answer
    x = 15,614.18

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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.