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Finding the Fourth Proportional to 46,149.50, 69,217.23 and 12,866.06

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Solution

The fourth proportional to 46,149.50, 69,217.23 and 12,866.06 is: 19,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,149.50 : 69,217.23 = 12,866.06 : x
  2. Step 2: Convert to fraction form
    46,149.50/69,217.23 = 12,866.06/x
  3. Step 3: Cross multiply
    46,149.50x = 69,217.23 × 12,866.06
  4. Step 4: Simplify right side
    46,149.50x = 890,553,034.21
  5. Step 5: Solve for x
    x = 890,553,034.21/46,149.50
  6. Step 6: Final answer
    x = 19,297.13

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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.