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Finding the Fourth Proportional to 32,826.64, 45,304.04 and 19,578.64

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Solution

The fourth proportional to 32,826.64, 45,304.04 and 19,578.64 is: 27,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,826.64 : 45,304.04 = 19,578.64 : x
  2. Step 2: Convert to fraction form
    32,826.64/45,304.04 = 19,578.64/x
  3. Step 3: Cross multiply
    32,826.64x = 45,304.04 × 19,578.64
  4. Step 4: Simplify right side
    32,826.64x = 886,991,489.71
  5. Step 5: Solve for x
    x = 886,991,489.71/32,826.64
  6. Step 6: Final answer
    x = 27,020.48

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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.