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Finding the Fourth Proportional to 32,898.14, 49,346.75 and 7,937.98

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Solution

The fourth proportional to 32,898.14, 49,346.75 and 7,937.98 is: 11,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.14 : 49,346.75 = 7,937.98 : x
  2. Step 2: Convert to fraction form
    32,898.14/49,346.75 = 7,937.98/x
  3. Step 3: Cross multiply
    32,898.14x = 49,346.75 × 7,937.98
  4. Step 4: Simplify right side
    32,898.14x = 391,713,514.57
  5. Step 5: Solve for x
    x = 391,713,514.57/32,898.14
  6. Step 6: Final answer
    x = 11,906.86

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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.