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Finding the Fourth Proportional to 97,102.60, 145,658.70 and 50,446.60

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Solution

The fourth proportional to 97,102.60, 145,658.70 and 50,446.60 is: 75,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,102.60 : 145,658.70 = 50,446.60 : x
  2. Step 2: Convert to fraction form
    97,102.60/145,658.70 = 50,446.60/x
  3. Step 3: Cross multiply
    97,102.60x = 145,658.70 × 50,446.60
  4. Step 4: Simplify right side
    97,102.60x = 7,347,986,175.42
  5. Step 5: Solve for x
    x = 7,347,986,175.42/97,102.60
  6. Step 6: Final answer
    x = 75,672.39

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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.