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Finding the Fourth Proportional to 62,304.96, 85,982.88 and 34,012.80

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Solution

The fourth proportional to 62,304.96, 85,982.88 and 34,012.80 is: 46,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,304.96 : 85,982.88 = 34,012.80 : x
  2. Step 2: Convert to fraction form
    62,304.96/85,982.88 = 34,012.80/x
  3. Step 3: Cross multiply
    62,304.96x = 85,982.88 × 34,012.80
  4. Step 4: Simplify right side
    62,304.96x = 2,924,518,500.86
  5. Step 5: Solve for x
    x = 2,924,518,500.86/62,304.96
  6. Step 6: Final answer
    x = 46,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.