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Finding the Fourth Proportional to 65,200.60, 97,829.70 and 30,122.20

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Solution

The fourth proportional to 65,200.60, 97,829.70 and 30,122.20 is: 45,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.60 : 97,829.70 = 30,122.20 : x
  2. Step 2: Convert to fraction form
    65,200.60/97,829.70 = 30,122.20/x
  3. Step 3: Cross multiply
    65,200.60x = 97,829.70 × 30,122.20
  4. Step 4: Simplify right side
    65,200.60x = 2,946,845,789.34
  5. Step 5: Solve for x
    x = 2,946,845,789.34/65,200.60
  6. Step 6: Final answer
    x = 45,196.61

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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.