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Finding the Fourth Proportional to 36,506.40, 54,727.20 and 24,032.40

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Solution

The fourth proportional to 36,506.40, 54,727.20 and 24,032.40 is: 36,027.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506.40 : 54,727.20 = 24,032.40 : x
  2. Step 2: Convert to fraction form
    36,506.40/54,727.20 = 24,032.40/x
  3. Step 3: Cross multiply
    36,506.40x = 54,727.20 × 24,032.40
  4. Step 4: Simplify right side
    36,506.40x = 1,315,225,961.28
  5. Step 5: Solve for x
    x = 1,315,225,961.28/36,506.40
  6. Step 6: Final answer
    x = 36,027.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.