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Finding the Fourth Proportional to 32,701.44, 45,128.96 and 20,133.44

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Solution

The fourth proportional to 32,701.44, 45,128.96 and 20,133.44 is: 27,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,701.44 : 45,128.96 = 20,133.44 : x
  2. Step 2: Convert to fraction form
    32,701.44/45,128.96 = 20,133.44/x
  3. Step 3: Cross multiply
    32,701.44x = 45,128.96 × 20,133.44
  4. Step 4: Simplify right side
    32,701.44x = 908,601,208.42
  5. Step 5: Solve for x
    x = 908,601,208.42/32,701.44
  6. Step 6: Final answer
    x = 27,784.75

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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.