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Finding the Fourth Proportional to 65,173.40, 97,760.10 and 51,176.60

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Solution

The fourth proportional to 65,173.40, 97,760.10 and 51,176.60 is: 76,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173.40 : 97,760.10 = 51,176.60 : x
  2. Step 2: Convert to fraction form
    65,173.40/97,760.10 = 51,176.60/x
  3. Step 3: Cross multiply
    65,173.40x = 97,760.10 × 51,176.60
  4. Step 4: Simplify right side
    65,173.40x = 5,003,029,533.66
  5. Step 5: Solve for x
    x = 5,003,029,533.66/65,173.40
  6. Step 6: Final answer
    x = 76,764.90

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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.