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Finding the Fourth Proportional to 73,214.20, 109,748.40 and 33,702.40

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Solution

The fourth proportional to 73,214.20, 109,748.40 and 33,702.40 is: 50,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,214.20 : 109,748.40 = 33,702.40 : x
  2. Step 2: Convert to fraction form
    73,214.20/109,748.40 = 33,702.40/x
  3. Step 3: Cross multiply
    73,214.20x = 109,748.40 × 33,702.40
  4. Step 4: Simplify right side
    73,214.20x = 3,698,784,476.16
  5. Step 5: Solve for x
    x = 3,698,784,476.16/73,214.20
  6. Step 6: Final answer
    x = 50,520.04

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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.