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Finding the Fourth Proportional to 33,172.08, 49,702.65 and 14,424

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Solution

The fourth proportional to 33,172.08, 49,702.65 and 14,424 is: 21,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,172.08 : 49,702.65 = 14,424 : x
  2. Step 2: Convert to fraction form
    33,172.08/49,702.65 = 14,424/x
  3. Step 3: Cross multiply
    33,172.08x = 49,702.65 × 14,424
  4. Step 4: Simplify right side
    33,172.08x = 716,911,023.60
  5. Step 5: Solve for x
    x = 716,911,023.60/33,172.08
  6. Step 6: Final answer
    x = 21,611.88

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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.