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Finding the Fourth Proportional to 32,562.46, 48,806.43 and 13,815.01

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Solution

The fourth proportional to 32,562.46, 48,806.43 and 13,815.01 is: 20,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562.46 : 48,806.43 = 13,815.01 : x
  2. Step 2: Convert to fraction form
    32,562.46/48,806.43 = 13,815.01/x
  3. Step 3: Cross multiply
    32,562.46x = 48,806.43 × 13,815.01
  4. Step 4: Simplify right side
    32,562.46x = 674,261,318.51
  5. Step 5: Solve for x
    x = 674,261,318.51/32,562.46
  6. Step 6: Final answer
    x = 20,706.71

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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.