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Finding the Fourth Proportional to 38,057.85, 52,523.24 and 21,066.08

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Solution

The fourth proportional to 38,057.85, 52,523.24 and 21,066.08 is: 29,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.85 : 52,523.24 = 21,066.08 : x
  2. Step 2: Convert to fraction form
    38,057.85/52,523.24 = 21,066.08/x
  3. Step 3: Cross multiply
    38,057.85x = 52,523.24 × 21,066.08
  4. Step 4: Simplify right side
    38,057.85x = 1,106,458,407.75
  5. Step 5: Solve for x
    x = 1,106,458,407.75/38,057.85
  6. Step 6: Final answer
    x = 29,073.07

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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.