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Finding the Fourth Proportional to 33,972.32, 50,919.60 and 13,178

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Solution

The fourth proportional to 33,972.32, 50,919.60 and 13,178 is: 19,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972.32 : 50,919.60 = 13,178 : x
  2. Step 2: Convert to fraction form
    33,972.32/50,919.60 = 13,178/x
  3. Step 3: Cross multiply
    33,972.32x = 50,919.60 × 13,178
  4. Step 4: Simplify right side
    33,972.32x = 671,018,488.80
  5. Step 5: Solve for x
    x = 671,018,488.80/33,972.32
  6. Step 6: Final answer
    x = 19,751.92

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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.