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Finding the Fourth Proportional to 47,945, 71,950.31 and 24,587.84

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Solution

The fourth proportional to 47,945, 71,950.31 and 24,587.84 is: 36,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,945 : 71,950.31 = 24,587.84 : x
  2. Step 2: Convert to fraction form
    47,945/71,950.31 = 24,587.84/x
  3. Step 3: Cross multiply
    47,945x = 71,950.31 × 24,587.84
  4. Step 4: Simplify right side
    47,945x = 1,769,102,710.23
  5. Step 5: Solve for x
    x = 1,769,102,710.23/47,945
  6. Step 6: Final answer
    x = 36,898.59

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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.