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Finding the Fourth Proportional to 32,564.64, 44,939.12 and 17,660.64

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Solution

The fourth proportional to 32,564.64, 44,939.12 and 17,660.64 is: 24,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.64 : 44,939.12 = 17,660.64 : x
  2. Step 2: Convert to fraction form
    32,564.64/44,939.12 = 17,660.64/x
  3. Step 3: Cross multiply
    32,564.64x = 44,939.12 × 17,660.64
  4. Step 4: Simplify right side
    32,564.64x = 793,653,620.24
  5. Step 5: Solve for x
    x = 793,653,620.24/32,564.64
  6. Step 6: Final answer
    x = 24,371.64

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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.