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Finding the Fourth Proportional to 32,932.50, 49,409.84 and 10,446.90

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Solution

The fourth proportional to 32,932.50, 49,409.84 and 10,446.90 is: 15,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.50 : 49,409.84 = 10,446.90 : x
  2. Step 2: Convert to fraction form
    32,932.50/49,409.84 = 10,446.90/x
  3. Step 3: Cross multiply
    32,932.50x = 49,409.84 × 10,446.90
  4. Step 4: Simplify right side
    32,932.50x = 516,179,657.50
  5. Step 5: Solve for x
    x = 516,179,657.50/32,932.50
  6. Step 6: Final answer
    x = 15,673.87

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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.