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Finding the Fourth Proportional to 38,042.43, 57,066.93 and 9,962.37

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Solution

The fourth proportional to 38,042.43, 57,066.93 and 9,962.37 is: 14,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,042.43 : 57,066.93 = 9,962.37 : x
  2. Step 2: Convert to fraction form
    38,042.43/57,066.93 = 9,962.37/x
  3. Step 3: Cross multiply
    38,042.43x = 57,066.93 × 9,962.37
  4. Step 4: Simplify right side
    38,042.43x = 568,521,871.42
  5. Step 5: Solve for x
    x = 568,521,871.42/38,042.43
  6. Step 6: Final answer
    x = 14,944.42

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