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Finding the Fourth Proportional to 46,286.70, 69,433.68 and 13,009.50

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Solution

The fourth proportional to 46,286.70, 69,433.68 and 13,009.50 is: 19,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,286.70 : 69,433.68 = 13,009.50 : x
  2. Step 2: Convert to fraction form
    46,286.70/69,433.68 = 13,009.50/x
  3. Step 3: Cross multiply
    46,286.70x = 69,433.68 × 13,009.50
  4. Step 4: Simplify right side
    46,286.70x = 903,297,459.96
  5. Step 5: Solve for x
    x = 903,297,459.96/46,286.70
  6. Step 6: Final answer
    x = 19,515.27

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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.