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Finding the Fourth Proportional to 56,942.60, 85,212.30 and 49,627.40

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Solution

The fourth proportional to 56,942.60, 85,212.30 and 49,627.40 is: 74,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,942.60 : 85,212.30 = 49,627.40 : x
  2. Step 2: Convert to fraction form
    56,942.60/85,212.30 = 49,627.40/x
  3. Step 3: Cross multiply
    56,942.60x = 85,212.30 × 49,627.40
  4. Step 4: Simplify right side
    56,942.60x = 4,228,864,897.02
  5. Step 5: Solve for x
    x = 4,228,864,897.02/56,942.60
  6. Step 6: Final answer
    x = 74,265.40

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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.