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Finding the Fourth Proportional to 65,065.60, 97,452.60 and 53,401.60

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Solution

The fourth proportional to 65,065.60, 97,452.60 and 53,401.60 is: 79,982.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,065.60 : 97,452.60 = 53,401.60 : x
  2. Step 2: Convert to fraction form
    65,065.60/97,452.60 = 53,401.60/x
  3. Step 3: Cross multiply
    65,065.60x = 97,452.60 × 53,401.60
  4. Step 4: Simplify right side
    65,065.60x = 5,204,124,764.16
  5. Step 5: Solve for x
    x = 5,204,124,764.16/65,065.60
  6. Step 6: Final answer
    x = 79,982.74

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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.