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Finding the Fourth Proportional to 46,906.82, 64,742.80 and 28,991.03

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Solution

The fourth proportional to 46,906.82, 64,742.80 and 28,991.03 is: 40,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,906.82 : 64,742.80 = 28,991.03 : x
  2. Step 2: Convert to fraction form
    46,906.82/64,742.80 = 28,991.03/x
  3. Step 3: Cross multiply
    46,906.82x = 64,742.80 × 28,991.03
  4. Step 4: Simplify right side
    46,906.82x = 1,876,960,546.46
  5. Step 5: Solve for x
    x = 1,876,960,546.46/46,906.82
  6. Step 6: Final answer
    x = 40,014.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.