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Finding the Fourth Proportional to 32,406.10, 44,706.49 and 19,654.41

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Solution

The fourth proportional to 32,406.10, 44,706.49 and 19,654.41 is: 27,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,406.10 : 44,706.49 = 19,654.41 : x
  2. Step 2: Convert to fraction form
    32,406.10/44,706.49 = 19,654.41/x
  3. Step 3: Cross multiply
    32,406.10x = 44,706.49 × 19,654.41
  4. Step 4: Simplify right side
    32,406.10x = 878,679,752.22
  5. Step 5: Solve for x
    x = 878,679,752.22/32,406.10
  6. Step 6: Final answer
    x = 27,114.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.