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Finding the Fourth Proportional to 71,380.40, 107,070.60 and 29,827.40

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Solution

The fourth proportional to 71,380.40, 107,070.60 and 29,827.40 is: 44,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,380.40 : 107,070.60 = 29,827.40 : x
  2. Step 2: Convert to fraction form
    71,380.40/107,070.60 = 29,827.40/x
  3. Step 3: Cross multiply
    71,380.40x = 107,070.60 × 29,827.40
  4. Step 4: Simplify right side
    71,380.40x = 3,193,637,614.44
  5. Step 5: Solve for x
    x = 3,193,637,614.44/71,380.40
  6. Step 6: Final answer
    x = 44,741.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.