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Finding the Fourth Proportional to 38,000.96, 57,001.47 and 9,920.94

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Solution

The fourth proportional to 38,000.96, 57,001.47 and 9,920.94 is: 14,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.96 : 57,001.47 = 9,920.94 : x
  2. Step 2: Convert to fraction form
    38,000.96/57,001.47 = 9,920.94/x
  3. Step 3: Cross multiply
    38,000.96x = 57,001.47 × 9,920.94
  4. Step 4: Simplify right side
    38,000.96x = 565,508,163.78
  5. Step 5: Solve for x
    x = 565,508,163.78/38,000.96
  6. Step 6: Final answer
    x = 14,881.42

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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.