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Finding the Fourth Proportional to 32,824.64, 45,301.28 and 19,576.64

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Solution

The fourth proportional to 32,824.64, 45,301.28 and 19,576.64 is: 27,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,824.64 : 45,301.28 = 19,576.64 : x
  2. Step 2: Convert to fraction form
    32,824.64/45,301.28 = 19,576.64/x
  3. Step 3: Cross multiply
    32,824.64x = 45,301.28 × 19,576.64
  4. Step 4: Simplify right side
    32,824.64x = 886,846,850.10
  5. Step 5: Solve for x
    x = 886,846,850.10/32,824.64
  6. Step 6: Final answer
    x = 27,017.72

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1.5x scale

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.