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Finding the Fourth Proportional to 46,508.81, 69,763.22 and 13,676.81

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Solution

The fourth proportional to 46,508.81, 69,763.22 and 13,676.81 is: 20,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,508.81 : 69,763.22 = 13,676.81 : x
  2. Step 2: Convert to fraction form
    46,508.81/69,763.22 = 13,676.81/x
  3. Step 3: Cross multiply
    46,508.81x = 69,763.22 × 13,676.81
  4. Step 4: Simplify right side
    46,508.81x = 954,138,513.53
  5. Step 5: Solve for x
    x = 954,138,513.53/46,508.81
  6. Step 6: Final answer
    x = 20,515.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.