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Finding the Fourth Proportional to 32,568, 48,852.48 and 10,680

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Solution

The fourth proportional to 32,568, 48,852.48 and 10,680 is: 16,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568 : 48,852.48 = 10,680 : x
  2. Step 2: Convert to fraction form
    32,568/48,852.48 = 10,680/x
  3. Step 3: Cross multiply
    32,568x = 48,852.48 × 10,680
  4. Step 4: Simplify right side
    32,568x = 521,744,486.40
  5. Step 5: Solve for x
    x = 521,744,486.40/32,568
  6. Step 6: Final answer
    x = 16,020.16

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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.