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Finding the Fourth Proportional to 31,349.96, 46,991.85 and 10,284.50

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Solution

The fourth proportional to 31,349.96, 46,991.85 and 10,284.50 is: 15,415.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349.96 : 46,991.85 = 10,284.50 : x
  2. Step 2: Convert to fraction form
    31,349.96/46,991.85 = 10,284.50/x
  3. Step 3: Cross multiply
    31,349.96x = 46,991.85 × 10,284.50
  4. Step 4: Simplify right side
    31,349.96x = 483,287,446.37
  5. Step 5: Solve for x
    x = 483,287,446.37/31,349.96
  6. Step 6: Final answer
    x = 15,415.89

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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.