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Finding the Fourth Proportional to 97,682.60, 146,523.90 and 47,770.40

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Solution

The fourth proportional to 97,682.60, 146,523.90 and 47,770.40 is: 71,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,682.60 : 146,523.90 = 47,770.40 : x
  2. Step 2: Convert to fraction form
    97,682.60/146,523.90 = 47,770.40/x
  3. Step 3: Cross multiply
    97,682.60x = 146,523.90 × 47,770.40
  4. Step 4: Simplify right side
    97,682.60x = 6,999,505,312.56
  5. Step 5: Solve for x
    x = 6,999,505,312.56/97,682.60
  6. Step 6: Final answer
    x = 71,655.60

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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.