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Finding the Fourth Proportional to 39,024, 53,853.12 and 22,256.64

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Solution

The fourth proportional to 39,024, 53,853.12 and 22,256.64 is: 30,714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 53,853.12 = 22,256.64 : x
  2. Step 2: Convert to fraction form
    39,024/53,853.12 = 22,256.64/x
  3. Step 3: Cross multiply
    39,024x = 53,853.12 × 22,256.64
  4. Step 4: Simplify right side
    39,024x = 1,198,589,504.72
  5. Step 5: Solve for x
    x = 1,198,589,504.72/39,024
  6. Step 6: Final answer
    x = 30,714.16

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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.