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Finding the Fourth Proportional to 33,175.40, 49,776.06 and 12,400.52

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Solution

The fourth proportional to 33,175.40, 49,776.06 and 12,400.52 is: 18,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175.40 : 49,776.06 = 12,400.52 : x
  2. Step 2: Convert to fraction form
    33,175.40/49,776.06 = 12,400.52/x
  3. Step 3: Cross multiply
    33,175.40x = 49,776.06 × 12,400.52
  4. Step 4: Simplify right side
    33,175.40x = 617,249,027.55
  5. Step 5: Solve for x
    x = 617,249,027.55/33,175.40
  6. Step 6: Final answer
    x = 18,605.62

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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.