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Finding the Fourth Proportional to 46,944.69, 70,416.38 and 11,406.27

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Solution

The fourth proportional to 46,944.69, 70,416.38 and 11,406.27 is: 17,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,944.69 : 70,416.38 = 11,406.27 : x
  2. Step 2: Convert to fraction form
    46,944.69/70,416.38 = 11,406.27/x
  3. Step 3: Cross multiply
    46,944.69x = 70,416.38 × 11,406.27
  4. Step 4: Simplify right side
    46,944.69x = 803,188,185.67
  5. Step 5: Solve for x
    x = 803,188,185.67/46,944.69
  6. Step 6: Final answer
    x = 17,109.24

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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.