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Finding the Fourth Proportional to 33,175.49, 49,763.16 and 27,319.77

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Solution

The fourth proportional to 33,175.49, 49,763.16 and 27,319.77 is: 40,979.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,175.49 : 49,763.16 = 27,319.77 : x
  2. Step 2: Convert to fraction form
    33,175.49/49,763.16 = 27,319.77/x
  3. Step 3: Cross multiply
    33,175.49x = 49,763.16 × 27,319.77
  4. Step 4: Simplify right side
    33,175.49x = 1,359,518,085.67
  5. Step 5: Solve for x
    x = 1,359,518,085.67/33,175.49
  6. Step 6: Final answer
    x = 40,979.60

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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.