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Finding the Fourth Proportional to 33,412.64, 50,128.80 and 10,042.64

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Solution

The fourth proportional to 33,412.64, 50,128.80 and 10,042.64 is: 15,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412.64 : 50,128.80 = 10,042.64 : x
  2. Step 2: Convert to fraction form
    33,412.64/50,128.80 = 10,042.64/x
  3. Step 3: Cross multiply
    33,412.64x = 50,128.80 × 10,042.64
  4. Step 4: Simplify right side
    33,412.64x = 503,425,492.03
  5. Step 5: Solve for x
    x = 503,425,492.03/33,412.64
  6. Step 6: Final answer
    x = 15,066.92

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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.