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Finding the Fourth Proportional to 65,324.60, 97,841.10 and 53,660.60

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Solution

The fourth proportional to 65,324.60, 97,841.10 and 53,660.60 is: 80,371.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,324.60 : 97,841.10 = 53,660.60 : x
  2. Step 2: Convert to fraction form
    65,324.60/97,841.10 = 53,660.60/x
  3. Step 3: Cross multiply
    65,324.60x = 97,841.10 × 53,660.60
  4. Step 4: Simplify right side
    65,324.60x = 5,250,212,130.66
  5. Step 5: Solve for x
    x = 5,250,212,130.66/65,324.60
  6. Step 6: Final answer
    x = 80,371.13

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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.