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Finding the Fourth Proportional to 65,344.60, 97,871.10 and 50,505.40

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Solution

The fourth proportional to 65,344.60, 97,871.10 and 50,505.40 is: 75,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,344.60 : 97,871.10 = 50,505.40 : x
  2. Step 2: Convert to fraction form
    65,344.60/97,871.10 = 50,505.40/x
  3. Step 3: Cross multiply
    65,344.60x = 97,871.10 × 50,505.40
  4. Step 4: Simplify right side
    65,344.60x = 4,943,019,053.94
  5. Step 5: Solve for x
    x = 4,943,019,053.94/65,344.60
  6. Step 6: Final answer
    x = 75,645.41

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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.